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?

The supplement of the angle is 102.86°

Step-by-step 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°

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