WAEC - Mathematics (2021 - No. 29)

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

18°
108°
54°
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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