Question

Will give brainliest!!! What is m∠Q=? What does m∠R=? What is m∠S=?

Answer 1

Answer:

• 89°, 123°, 91°

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°