∠P and ∠Q are complementary angles and m∠Q = 28°. The measure of ∠P is _____________.

Answer 1

By definition, complementary angles are two angles whose measures sum to 90°. Since you know one of the angle measures already, you can subtract that angle measure from 90 to find the measure of the other angle.

Answer 2

Complementary angles sum to 90°:

m∠P + m∠Q = 90°

m∠P + 28° = 90°

Solve for m∠P.