WAEC Mathematics 2013 Objective — Question 41

Question 41 of 50 from the West African Examinations Council (WAEC) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

The diagram is a circle with centre O. PRST are points on the circle. Find the value of ∠PRS.

• A. 144°Correct
• B. 72°
• C. 40°
• D. 36°

Explanation

Using the reflex angle at the centre (2×72°=144°, or equivalent) and the circle theorem relating angle at centre to angle at circumference, ∠PRS = 144°.

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