Question

- ZA and B are complementary angles. If mA = (x + 28)° and m ZB = (4x - 8), then find the measure of ZA.​

Answer 1

42 degrees

Explanation:

"Complementary" means the angle measures add up to 90 degrees.

`m\angle A+m\angle B =90^\circ\\(x+28)+(4x-8)=90\\5x+20=90\\5x=70\\x=14`

Now plug in 14 for x in the expression for the measure of angle A.

`m\angle A = 14^\circ+28^\circ =42^\circ`