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In the figure, PQ and QR are chords of the circle PQR. QRS is a...

Mathematics
JAMB 1979

In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20o. What is the size of  <POQ.

  • A. 70o
  • B. 90o
  • C. 80o
  • D. 40o
  • E. 60o
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Correct Answer: Option C
Explanation

Isosceles Triangle PSR: 

RSP ≡ RPS → 20º 

That is PRQ = 40º

POQ = 2 * 40 = 80º (Angle subtended by chord PQ at centre is twice angle subtended at circumference).

The size of POQ = 80º

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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