WAEC Mathematics 2022 Objective — Question 35

Question 35 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

The diagram shows triangle PQR inscribed in a circle. PS is a tangent to the circle at P. Find ∠PRQ.

A. 49°
B. 58°Correct
C. 73°
D. 131°

Explanation

By the tangent-chord angle theorem, the angle between tangent PS and chord PQ equals the angle in the alternate segment (∠PRQ). Given the marked angles (58° and 73°) in the diagram, ∠PRQ=58°.

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