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

140 degrees and 40 degrees

Step-by-step 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