The measure of an angle which is four times its supplement is
a. 36°
b. 144°
c. 16°
d. 64°

Solution:

Given, the supplement of an angle is 4 times the angle.

We need to find the 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,

x = 4(180° - x)

x = 720° - 4x

x + 4x = 720°

5x = 720°

x = 720°/5

x = 144°

Therefore, the angle is x = 144°

✦ Try This: The measure of an angle which is five times its supplement is

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 15

The measure of an angle which is four times its supplement is: a. 36°, b. 144°, c. 16°, d. 64°

Summary:

The measure of an angle which is four times its supplement is 144°

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