Question

What is the measure of the smaller of two complementary angles if one angle is 4x and the other is 2x + 18?

Answer 1

42°

Explanation:

4x + 2x + 18 = 90 because they are complementary angles (add up to 90°)

reduce:

6x = 72

x = 12

one angle = 4(12) = 48°

other angle = 2(12) +18 = 42°