Question

HELP PLEASE

In the figure below, m∠A = 72° and m∠B = (5x + 8)°.



If ∠A and ∠B are supplementary angles, which equation represents their relationship, and what is the value of x?

A.
72 + (5x + 8) = 90
x = 34
B.
72 + (5x + 8) = 180
x = 52
C.
72 + (5x + 8) = 90
x = 2
D.
72 + (5x + 8) = 180
x = 20

Answer 1

D. 72 + (5x + 8) = 180, x = 20.

Explanation:

Supplementary angles are angles that add up to 180, so the equation would be 72 + (5x + 8) = 180.

Now here, to find the value of x, solve for x.

72 + (5x + 8) = 180

5x + 8 = 108

5x = 100

x = 20

Your answer is D, 72 + (5x + 8) = 180, x = 20.