Question

ZA and ZB are complementary angles. If mZA = (7x + 23)° and

mZB = (5x + 19)°, then find the measure of ZB.

Answer 1

ZB= 39°

Explanation:

complementary angles are angles that add up to equal 90

equation: 7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°