Question

if the supplement of an angle is six times its complement find the measure of the angle

Answer 1

Answer:

The required angle is 72°

Step-by-step explanation:

Let x° be the required angle.

supplement of angle = 180° - x°

complement of angle = 90° - x°

Given : (180° - x ) = 6 (90° - x)

180° - x = 540° - 6x

5x = 360°

x = 360°/5

x = 72°

The required angle is 72°