Question

two angles are supplementary. If one of the angles is (8x+20)° and the other is (3x-5)°, what is the measure of both angles? choose both answers below.

Answer 1

ANSWER

140 degrees and 40 degrees

EXPLANATION

We have that the two angles given are supplementary angles.

Supplementary angles are angles that add up to 180 degrees.

The two angles given are:

(8x + 20) degrees and (3x - 5) degrees

This means that:

8x + 20 + 3x - 5 = 180

Collect like terms:

8x + 3x + 20 - 5 = 180

11x + 15 = 180

11x = 180 - 15 = 165

x = 165 / 11

x = 15

Therefore, the first angle is:

8(15) + 20 = 120 + 20 = 140 degrees

The second angle is:

3(15) - 5 = 45 - 5 = 40 degrees