Question

In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?

A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°

Answer 1

A.

Explanation:

22+(2x + 16)+90=180

combine like terms: 90+22+16=128

180-128=52

52=2x

52/2 = 2x/2

26 = x

(2*26+16) - angle B