Question

An angle measures 6.6° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Angle 1 = 51.6°

Angle 2 = 38.4°

Explanation:

All complimentary angles add up to 90°.

If two complimentary angles were congruent then their measures would both be 45°.

Since one angle's measure is 6.6° more than the other's measure, it's measure is 6.6° more than 45°

Vice versa for the second angle, its measure will be 6.6° less than 45°