Question

Help please.
Angle SPR and angle RPQ are complementary. Find the measure of angle RPQ.

Answer 1

m∠RPQ = 53°

53 degrees

Explanation:

When two angles are complementary angles, it means they add up to 90 degrees (Ex: a 10° angle and 80° angle would be complementary).

Therefore, if ∠SPR and ∠RPQ are complementary, then

m∠SPR + m∠RPQ = 90°

since you are given that m∠SPR = 37°, you can plug that in for m∠SPR to find m∠RPQ:

m∠SPR + m∠RPQ = 90°

37° + m∠RPQ = 90°

m∠RPQ = 90° - 37°

m∠RPQ = 53°

Answer 2

53 degrees

Explanation:

Complimentary angles are angles whose sum equals 90 degrees.

90-37 = 53