Question

An angle measures 42.6° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Complementary angle 1st = 66.3°

Complementary angle 2nd = 23.7°

Explanation:

Assume;

Complementary angle 1st = a

Complementary angle 2nd = a - 42.6°

Sum of complementary angles = 90°

So,

a + a - 42.6 = 90

a = 66.3

Complementary angle 1st = 66.3°

Complementary angle 2nd = 23.7°