3 years ago

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

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

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°

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