Answer:
m∠RPQ = 53°
53 degrees
Step-by-step 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°
