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-BARSIC- [3]
3 years ago
7

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:

<em>Inscribed angle is half of the intercepted arc.</em>

  • m∠Q = 1/2(mPS + mRS) = 1/2(41° + 137°) = 89°

<em>Opposite angles are supplementary.</em>

<em>Supplementary angles sum to 180°.</em>

  • m∠R = 180° - m∠P = 180° - 57° = 123°
  • m∠S = 180° - m∠Q = 180° - 89° = 91°

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