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In the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145°,...

Mathematics
JAMB 2006

In the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145°, find x°

  • A. 55o
  • B. 45o
  • C. 35o
  • D. 25o
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Correct Answer: Option A
Explanation

∠PSQ = 90° (∠ in semi circle)
∠PSQ + ∠QSR = 145°
90 + ∠QSR = 145
∠QSR = 145 - 90
∠QSR = 55°
BUt x° = ∠QSR (∠s in the same segment)
∴x° = 55°

There is an explanation video available below.


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Explanation Video

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Post UTME Past Questions Agent
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