New Learning Composite Mathematics Class 7 SK Gupta Anubhuti Gangal Pairs and Angles Chapter 9A Solution

(1) What is measure of complement of 38⁰

(2) What is measure of supplement of 170^o

(3) Tell whether the angles shown below are complementary, supplementary or neither.

(4) For each angle in group A, find its complement in group B. (Example 20^o and 70^o)

A: 20^o, 10^o, 35^o, 45^o, 60^o, 85^o, 65^o

B: 25^o, 45^o, 30^o, 5^o, 70^o, 80^o, 55^o

Solution from 1 to 4:

(5) For each angle in group A, find its supplement in group B.

A: 140^o, 70^o, 179^o, 165^o, 55^o, 45^o, 80^o

B: 100^o, 15^o, 125^o, 110^o, 1^o, 40^o, 135^o

(6) Two complementary angles are in the ratio 7:8, find the angles.

Solution 5 & 6:

(7) Two supplementary angles are in the ratio 3:7, Find the angles.

(8) Tell whether the angles are only adjacent, adjacent and form a linear pair or not adjacent.

(a) <1 and <4

(b) <2 and <3

(c) <3 and <4

(d) <3 and <1

Solution 7 & 8:

(9) Find the measures of the lettered angles.

Solution Number 9 to 14:

(15) In the diagram on the right, <1 = 50⁰ and <2 = 84⁰, find the measures of <3, <4, <5 and <6.

Solution Number 15:

(16) Find the angles in each of the following.

(a) The angles are supplementary and the larger is 20⁰ less than 3 times the smaller.

(b) The angles are complementary and the larger is 15^o more than twice the smaller.

(c) The angles are adjacent and form an angle of 120^o. The larger is 20^o less than 3 times the smaller.

(d) The angles are vertical and complementary.

Solution Number 16: