Question

In the above figure, m∠A = 34° and m∠B = (2x + 22)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?

Answer 1

Explanation:

`m\angle(A) + m\angle(B)=90\\34+(2x+22)=90\\\textrm{Solve for x.}\\\\34+2x+22=90\\2x+56=90\\2x=90-56\\2x=34\\x=17\\m\angle(B)=2x+22=2(17)+22=34+22=56\degree`