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Assertion and Reason Questions Class 7 Maths Chapter 5 Lines and Angles
1.) Assertion: When the sum of the measures of two angles is 90°, the angles are called complementary angles.
Reason: Two acute angles can be complementary to each other.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion
2.) Assertion: The sum of the measures of two complementary angles is 90°.
Reason: When the sum of the measures of two angles is 90°, the angles are called complementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
3.) Assertion: given pair is pair of angles of complementary angles.
Reason: 60°, 30° is pair of angles of complementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
4.) Assertion: The sum of the measures of two supplementary angles is 180° .
Reason: When the sum of the measures of two angles is 180°, the angles are called supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
5.) Assertion: Two right angles can be supplementary.
Reason: The measure of the supplement of the angle 90° is 90°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
6.)Assertion: the measure of the complement of the angle 80° is 10° .
Reason: The measure of complement of the angle 50° is 40°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion
7.)Assertion: Two right angles can be supplementary.
Reason: two angles need not be adjacent to be supplementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b) both Assertion and reason are correct but reason is not correct explanation for assertion
8.)Assertion: 90°,90° is pair of angles of supplementary angles.
Reason: When the sum of the measures of two angles is 180°, the angles are called supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
9.) Assertion: The measure of the supplement of the angle 0° is 180°
Reason: When the sum of the measures of two angles is 180°, the angles are called supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
10.) Assertion:
given pair is pair of angle of supplementary angles.
Reason: sum of two right angled is not supplementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false
11.)Assertion: The angles in a linear pair are supplementary.
Reason: When two lines intersect each other at a single point, linear pairs of angles are formed.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
12.) Assertion: Two acute angles can form a linear pair.
Reason: acute angle means whose measure is greater than 90°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false
13.)Assertion: The sum of the measures of the angles in a linear pair is 180°.
Reason: when two lines intersect each other at a single point, linear pairs of angles are formed.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
14.) Assertion: Two vertically opposite angles may be unequal
Reason: Two vertically opposite angles can be right angles
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false
15.) Assertion: When a transversal cuts two parallel lines, each pair of corresponding angles are not equal.
Reason: When a transversal cuts two parallel lines, each pair of corresponding angles are equal
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false.
16.) Assertion: If a transversal intersects two parallel lines then the interior angles on the same side of the transversal are supplementary angles.
Reason: The sum measure of two supplementary angles is 180° .
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
17.)Assertion: The complement of 15° is 75°
Reason: Two angles are said to be complementary if the sum of their measures is 90°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
18.)Assertion: Parallel lines are always equidistant.
Reason: If two parallel lines are intersected by a transversal, then a pair of alternate angles are equal.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
19.)Assertion: Two vertically opposite angles can be obtuse
Reason: Two vertically opposite angles are always are equal to each other
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
20.)Assertion: A line that intersects two or more lines at distinct points is called transversal.
Reason: When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
21.)Assertion: acute angle is the angle which is greater than 0° and less than 90°.
Reason: Two acute angles can be complementary to each other.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
22.)Assertion: Measure of a complementary angle of each of 20° is 70°.
Reason: Measure of a complementary angle of 77° is 13°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
23.) Assertion: Supplementary angle of 102° is 78°
Reason: Two angles are Supplementary when their sum is equal to 180 °.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
24.)Assertion: measure of complementary angles of 68° and 33° are 22° and 57°.
Reason: two angles are complementary when they add up to 90°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
25.)Assertion: if one angle of linear pair is 102°, then the other angle will be 78°.
Reason: Sum of angles of linear pair is 180°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
26.) Assertion: Sum of angles of linear pair is 180°.
Reason: measure of one angle of linear pair is 107° then the another angle will be 75°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
27.) Assertion: If two parallel lines are cut by a transversal, then each pair of corresponding angles are equal.
Reason: A transversal intersects two parallel lines. If measure of one of the angle is 50° then the measure of it’s corresponding angle is 50°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
28.) Assertion: The measure of alternate angle of 65° is 65° .
Reason: Alternate angle always are equal.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
29.) Assertion: sum of two obtuse angles will be more than 180°.
Reason: angle is greater than 0° and less than 90° is known as obtuse angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
30.) Assertion: two angles are supplementary if both of them are right angles.
Reason: The sum of two right angles is 180°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
31.) Assertion: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
Reason: The sum of a linear pair of angles is 180°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
32.) Assertion: a and b forming a linear pair.
Reason: a and b are forming a pair of adjacent angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
33.) Assertion: two angles are called adjacent if they have commen vertex
Reason: the adjacent angle have common interior point.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c) assertion is true but the reason is false.
34) Assertion: the sum of two adjacent angle is 100° and one of them is 35° then other is 65°
Reason: adjacent angle are always supplementary.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
35.) Assertion: an exterior angle of triangle is equal to sum of two interior opposite angle .
Reason: if two angles are complementary of each other then each angle is acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
36.) assertion: 80° is an acute angle type
Reason: the angle which is less than 90° is known as acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
37.)Assertion: the measurment of angle A is 160 ° and it’s type is obtuse angle
Reason: the angle which is greater than 90°and smaller than180° is known as obtuse angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
38.) Assertion: The supplement of the angle (120+a−2b)° is (60−a+2b) °
Reason: if the sum of two angle is 180° then the angle are supplementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
39.)Assertion: If one angle of a triangle is equal to the sum of the other two angles, then the triangle is right angle triangle
Reason: In △ABC,∠A=∠B+∠C sum of angles = 180
∠A+∠B+∠C=180
∠A+∠A=180
∠A=90° Thus, △ABC, is a right angled triangle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
40.) Assertion:
the measure of angle y is 65°
Reason: straight line extended an angle of 180°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
41.) Assertion: complementary angle of 72(1/2)° is 17(1/2)
Reason :sum of two complementary angle is 90°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
42.) Assertion: 183°° is a type of reflex angle
Reason: a reflex angle is smaller than straight angle .
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
43.) Assertion: in ΔABC, ∠A=43°and ∠C=70°then the measure of ∠B is 67°
Reason: sum of angle of triangle is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
44.) Assertion: sum of two adjacent angle is 70°
Reason: Two angles which have a different vertex, a different arm and same interiors are said to be adjacent angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false.
45.) Assertion: Sum of the pair of angles 120° and 60° is supplementary.
Reason: Two angles, the sum of whose measures is 180°, are called supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
46.) Assertion: The angles of a triangle are in the ratio 2:3: 4. The largest angle of the triangle is 80°.
Reason: The sum of all the interior angles of a triangle is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
47.) Assertion: If angles ‘a’ and ‘b’ form a linear pair of angles and a = 40°, then b = 150°.
Reason: Sum of linear pair of angles is always 250°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false.
48.) Assertion:
In the given figure, AOB is a straight line. If ∠AOC = (3x + 10)° and ∠BOC (4x – 26)°, then ∠BOC = 860
Reason: The sum of angles that are formed on a straight line is equal to 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
49.) Assertion: If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 100°
Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
50.) Assertion: An angle is 14º more than its complementary angle, then angle is 52º.
Reason: Two angles are said to be complementary if their sum of measure of angles is 90°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
51.) Assertion: Supplement of angle is one fourth of itself. The measure of the angle is 144°
Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
52.) Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.
Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
53.) Assertion: if two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55°
Reason: A triangle with one of its angle 90°, is called a right triangle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
54.) Assertion: triangle can have two obtuse angles.
Reason: The sum of all the interior angles of a triangle is 150°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false.55.)Assertion: The name Straight-angle comes from straight-line.
Reason: The sum of angles that are formed on a straight line is equal to 180°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
56.) Assertion: A line segment is a part of a line with two end-points.
Reason: a line can be extended from both side
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
57.) Assertion: Two lines are said to be parallel when they do not meet at any point or which do not intersects each other.
Reason: Parallel lines never meet no matter how much they are extended in either direction.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
58.) Assertion: ray has only one end points.
Reason: A ray is a part of a line, which has a starting point and tends infinitely in both direction.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
59.) Assertion: If the inclination between the arms is less than a right angle, it is called an acute angle.
Reason: 134° is type of acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
60.) Assertion: If the arms form an angle of 90 degrees between them, it is called a right angle.
Reason: the angle whose measure is 80° is known as right angled
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
61.) Assertion: Two angles whose sum is equal to 90 degrees are called complementary angles.
Reason: 58° and 32° are the complements of each other.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
62.)Assertion: Two angles which are formed, opposite to each other, when two lines intersect at a point or vertex, are called vertically opposite angles.
Reason: A pair of vertically opposite angles are always equal to each other
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
63.) Assertion: Bisectors of the adjacent angles forming a linear pair form a right angle.
Reason: Angles forming a linear pair can both be acute angles
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
64.) Assertion: if the supplement of an angle is three times its complement, then angel is45°
Reason: Two complementary angles with a different vertex and a different arm are called adjacent complementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
65.) Assertion: two adjacent angle always formed a linear lair.
Reason: All linear pairs of angles are adjacent angles and all adjacent angles are linear pairs.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
66.) Assertion: a segment has length
Reason: three lines are concurrent if they have common points
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
67.) Assertion: 91° is an example of acute angle
Reason: A triangle which consists of three acute angles. It means that all the angles are less than 90 degrees is known as acute angle triangle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
68.) Assertion: straight angle is an 180°
Reason: name straight angle come from curve line
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
69.) Assertion: two adjacent angle are equal .It is not necessary that each of these angle will be right angle.
Reason: two adjacent angles are equal .it is necessary that each of these angle will be a right angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
70.)Assertion: Perpendicular lines always meet or intersect each other.
Reason: The angle between any two perpendicular lines is always equal to 90. °
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
71.)Assertion: an exterior angle of a triangle is equal to sum of corresponding two interior opposite angle
Reason: The exterior angles of a triangle are those angles that are formed inside it.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
72.)Assertion: ∠A and ∠B are supplementary angles. ∠A=x+10° and ∠B=x−10°
then ∠A and ∠B are 100° and 80°
Reason: The angles x−10° and 190°-x are supplementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both asertion and reason are correct but reason is not correct explanation for Assertion.
73.) Assertion: 70° is an acute angle type
Reason: the time is 12:30 o’clock, the angle formed between the hour hand and the minute hand is an acute angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is correct but reason is false
74.)Assertion:
angle ABC= 47°
Reason: sum of interior opposite angles is equal to exterior angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
75.)Assertion: The adjacent angles on a straight line are (5x−6)° and 7(x+6)° then the value of x is 12
Reason: sum of adjacent angle on straight line is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
76.) Assertion: straigth angle > right angle > reflex angle
Reason: right angle > obtuse angle > acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
77.) Assertion: (110(1/2))° is a acute angle
Reason : 55° is less than 90 degrees and greater than 0 degrees , so it is called as acute angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
78.) Assertion:
the value of x is 67°
Reason: if two straight lines intersect ,the adjacent angles are complementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
79.) Assertion: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.
Reason: Two parallel lines intersect at One point
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
80.)Assertion: 60° is the complement of 30°
Reason: The complement angle of 80° is 10°
a) both assertion and reason are correct and reason is the correct explanation for assertion
b) both assertion and reason are correct but reason is not correct explanation for assertion
c) assertion is true but reason is false
d both assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion
81.)Assertion: If the two lines are parallel, the corresponding angles are equal.
Reason:
In the figure below, corresponding angle pairs are ∠p and ∠z
a) both assertion and reason are correct and reason is the correct explanation for assertion
b) both assertion and reason are correct but reason is not correct explanation for assertion
c) assertion is true but reason is false
d both assertion and reason are false.
Ans: c) Assertion is true but reason is false