Question

ZA and ZB are complementary angles. If m A = (8x + 27)° and m

ZB = (6x – 21)°, then find the measure of ZB.

Answer 1

15

Explanation:

Complementary angles add to 90 degrees

8x+27 + 6x-21 = 90

Combine like terms

14x+6 = 90

Subtract 6 from each side

14x+6-6 = 90-6

14x = 84

Divide by 14

14x/14 = 84/14

x=6

We want angle B

B = 6x-21 = 6*6-21 =36-21 = 15