Answer:
Step-by-step explanation:
Inscribed angle is half of the intercepted arc.
- m∠Q = 1/2(mPS + mRS) = 1/2(41° + 137°) = 89°
Opposite angles are supplementary.
Supplementary angles sum to 180°.
- m∠R = 180° - m∠P = 180° - 57° = 123°
- m∠S = 180° - m∠Q = 180° - 89° = 91°
