Question

If an angle is four times of its supplementary angle then find the measurement of both angle.

Answer 1

Answer: 144°, 36°

Step-by-step explanation:

Sum of supplementary angles is 180°

Let the angle be x

Then the supplementary angle is 180°-x

ATQ

x = 4(180°-x)

x = 720° - 4x

5x = 720°

x = 720° ÷ 5

x = 144°

Hence, the angles are: -

x = 144°

180°- x = 180° - 144° = 36°