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In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ...

Mathematics
WAEC 2000

In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.

  • A. 30o
  • B. 40o
  • C. 45o
  • D. 50o
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Correct Answer: Option D
Explanation

< Q = < R (OQ = OR = radii)

< QOR = 180° - 2(40°) = 100°

< QSR = < RPQ = \(\frac{1}{2}\) < QOR

= \(\frac{100}{2} = 50°\)


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