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?

Responses
A 105.17°105.17°
B 101.14°101.14°
C 103.05°103.05°
D 99.13°99.13°
E 102.86°

Answer 1

[AI-generated answer — Bot]

Let's call the angle we're trying to find x.

The complement of x is 90-x.
The supplement of x is 180-x.

According to the problem, we have:

90-x = (1/8)(180-x)

To solve for x, let's first simplify the equation:

720 - 8x = 180 - x

Solving for x:

7x = 540

x = 77.14

So the angle we're looking for is x = 77.14 degrees.

To find the supplement, we subtract from 180:

180 - 77.14 = 102.86

Therefore, the answer is E) 102.86°.