Which of the following pairs of angles are supplementary?
a. 48°, 42°
b. 60°, 60°
c. 75°, 105°
d. 179°, 2°

Solution:

We have to find which pairs of angles are supplementary angles.

When the sum of the measures of two angles is 180°, the angles are called supplementary angles.

Each of them is called a supplement of the other.

From the options,

1) considering 48°, 42°

= 48° + 42°

= 90°

Therefore, option a represents a right angle.

2) considering 60°, 60°

= 60° + 60°

= 120°

Therefore, option b is not a supplementary angle

3) considering 75°, 105°

= 75° + 105°

= 180°

Therefore, option c represents supplementary angle

4) considering 179°, 2°

= 179° + 2°

= 181°

Therefore, option d is not a supplementary angle.

✦ Try This: Which of the following pairs of angles are supplementary?

a. 42°, 48°

b. 179°, 1°

c. 120°, 90°

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

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NCERT Exemplar Class 7 Maths Chapter 5 Sample Problem 2

Which of the following pairs of angles are supplementary? a. 48°, 42°, b. 60°, 60°, c. 75°, 105°, d. 179°, 2°

Summary:

From the given options, 75° and 105° represent a supplementary angle

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