The measures of two supplementary angles are (2x + 10) ° and (8x + 10) °.

What is the measure of the larger angle?

A.

16°

B.

44°

C.

14°

D.

138°

(2x + 10) ° PLUS (8x + 10) ° = 180

10x + 20° = 180

10x = 160

x = 16

The larger angle is (8x + 10) °

When we substitute x = 16 we get:

138°

Answer is D

D

Step-by-step explanation:

Supplementary angles sum to 180°, hence

2x + 10 + 8x + 10 = 180

10x + 20 = 180 (subtract 20 from both sides)

10x = 160 (divide both sides by 10)

x = 16

larger angle = 8x + 10 = (8 * 16) + 10 = 128 + 10 = 138°