The difference of two complementary angles is 30°. Then, the angles are
a. 60°, 30°
b. 70°, 40°
c. 20°,50°
d. 105°,75°

Solution:

Given, the difference of two complementary angles is 30°

We need to find the angles.

When the sum of the measures of two angles is 90°, the angles are called complementary angles.

Let the angle be x

Other angle = (x - 30°)

sum of the complementary angles = 90°

So, x + (x - 30°) = 90°

x + x - 30° = 90°

2x = 90° + 30°

2x = 120°

x = 120°/2

x = 60°

Other angle = (60° - 30°) =30°

Therefore, the angles are 60°, 30°

✦ Try This: The difference of two complementary angles is 20°. Find the angles

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 18

The difference of two complementary angles is 30°. Then, the angles are: a. 60°, 30°, b. 70°, 40°, c. 20°,50°, d. 105°,75°

Summary:

The difference of two complementary angles is 30°. Then, the angles are 60° and 30°

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