Question

The complement of an angle is one-eight the measure of the supplement of the angle. What is the measure of the supplement angle to the nearest hundredth of a degree?

Answer 1

102.86

Explanation:

Answer 2

The supplement of the angle is 102.86°

Explanation:

Let

x-----> the measure of the angle

we know that

The complement of the angle is (90-x)°

The supplement of the angle is (180-x)°

so

(90-x)°=(1/8)(180-x)°

Solve for x

720°-8x=180°-x

8x-x=720°-180°

7x=540°

x=77.14°

Find the supplement of the angle

(180-77.14)°=102.86°