Complementary angles

Question

Measures 4x and 5x-18 degrees

Answer 1

Recall that complementary angles add to 90 degrees. Therefore,

4x + (5x-18) = 90

9x -18 = 90

9x=108

x=12

Therefore, the angles are 4*12 =48 degrees and (5*12) - 18 = 60-18 =42 degrees