In the diagram O is the centre of the circle PQRS, ∠PQR = 72° and...
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°
Correct Answer: D. 36°
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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