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Two chords QR and NP of a circle intersect inside the circle at x. If RQP = 37o, RQN = ...

Two chords QR and NP of a circle intersect inside the circle at x. If RQP = 37o, RQN = 49o and QPN = 35o, find PRQ
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  • A 35o
  • B 37o
  • C 49o
  • D 59o
Correct Answer: Option D
Explanation:
In PNO, ONP
= 180 - (35 + 86)
= 180 - 121
= 59°
PRQ = QNP = 59°(angles in the same segment of a circle are equal)

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