Question

ZA and ZB are complementary angles. If m≤A = (x – 19)˚ and

m/B = (3x + 1)°, then find the measure of ZB.

Answer 1

∠ B = 82°

Explanation:

complementary angles sum to 90° , then

x - 19 + 3x + 1 = 90

4x - 18 = 90 ( add 18 to both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Then

∠ B = 3x + 1 = 3(27) + 1 = 81 + 1 = 82°