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In the diagram, O is the centre of the circle PQRS, ∠PQR = 72° and OR...

Mathematics
WAEC 2021

In the diagram, O is the centre of the circle PQRS, ∠PQR = 72° and OR is parallel to PS. Find ∠ OPS.

  • A. 18°
  • B. 108°
  • C. 54°
  • D. 36°
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Correct Answer: Option D
Explanation

Angle at the centre O is twice the angle at the circumference.

i.e O = 72° * 2 = 144°

∠OPS = 180 - 144 = 36°

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