Question

An angle measures 6° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

42°, 48°

Explanation:

Complementary angles have a sum of 90 degrees. This lets us write the relation ...

x + (x +6) = 90 . . . . . where x represents the angle; x+6 is its complement

2x = 84 . . . . . . . collect terms, subtract 6

x = 42 . . . . . divide by 2

x +6 = 48 . . . . find the complementary angle

The two angles are 42° and 48°.