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WAEC Mathematics 2024 Question 30

Question 30

Triangles and Quadrilaterals

In the diagram, ∠SQR = 52° and ∠PRT = 16°. Find the value of the angle marked y.

Diagram for this question
  1. A.64°
  2. B.68°
  3. C.112°
  4. D.128°
Show the answer and explanation

Answer: C (112°)

Explanation

PQST is cyclic, so the exterior angle SQR equals the interior opposite angle PTS = 52°. In triangle PRT, y = 180° − 52° − 16° = 112°.