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WAEC Mathematics 2026 Question 4

Question 4

Triangles and Quadrilaterals

In the diagram, |PQ| = |PR| = |RS| and ∠RPS = 32°. Find ∠QPR

Diagram for this question
  1. A.32°
  2. B.52°
  3. C.64°
  4. D.72°
Show the answer and explanation

Answer: B (52°)

Explanation

RP = RS gives ∠RSP = 32°, so the exterior angle PRQ = 64°. PQ = PR gives ∠PQR = 64°, so ∠QPR = 180° − 128° = 52°.