Question

ZR and ZS are complementary angles. If mZR = (12x - 3) and mZS = (7x - 2), find mZR.

Answer 1

see explanation

Explanation:

Complementary angles sum to 90°

Sum the 2 angles and equate to 90

12x - 3 + 7x - 2 = 90 , that is

19x - 5 = 90 ( add 5 to both sides )

19x = 95 ( divide both sides by 19 )

x = 5

Then

mZR = 12x - 3 = 12(5) - 3 = 60 - 3 = 57°