WAEC Mathematics 2023 Objective — Question 37

Question 37 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

In the diagram, O is the centre of the circle QRS and ∠SQR=28°. Find ∠QRS.

• A. 76°
• B. 62°Correct
• C. 56°
• D. 76°

Explanation

∠SOR=2×28°=56° (angle at centre is twice angle at circumference). Since OS=OR (radii), triangle OSR is isosceles: ∠OSR=∠ORS=(180-56)/2=62°, so ∠QRS=62°.

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