WAEC Mathematics 2012 Objective — Question 44

Question 44 of 50 from the West African Examinations Council (WAEC) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

In the diagram, /SR/=/QR/, ∠SRP=65° and ∠RPQ=48°. Find ∠PRQ.

• A. 65°
• B. 45°
• C. 25°
• D. 19°Correct

Explanation

Since /SR/=/QR/, triangle SRQ (or the relevant sub-triangle) is isosceles; using the given angles 65° and 48° and angle sum properties, ∠PRQ = 19°.

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