If an angle is 60° less than two times of its supplement, then the greater angle is
a. 100°
b. 80°
c. 60°
d. 120°

Solution:

Given, an angle is 60° less than two times of its supplement.

We have to find the greater angle.

Let the angle be x.

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

Supplement of angle = (180° - x)

According to the question,

2(180° - x) - x = 60°

360° - 2x - x = 60°

360° - 3x = 60°

3x = 360° - 60°

3x = 300°

x = 300°/3

Therefore, x = 100°

✦ Try This: If an angle is 70° less than two times of its supplement, then the greater angle is

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 34

If an angle is 60° less than two times of its supplement, then the greater angle is: a. 100°, b. 80°, c. 60°, d. 120°

Summary:

If an angle is 60° less than two times of its supplement, then the greater angle is 100°.

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