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WAEC Mathematics 1996 Question 36

Question 36

Triangles and Quadrilaterals

In the diagram below, <SPQ = 79°. Find <SRQ.

Diagram for this question
  1. A.11°
  2. B.39½°
  3. C.79°
  4. D.90°
  5. E.101°
Show the answer and explanation

Answer: E (101°)

Explanation

PQRS is a cyclic quadrilateral, so opposite angles add up to 180°: <SRQ = 180° − 79° = 101°.