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WAEC Mathematics 1994 Question 39

Question 39

Circle Theorems

The diagram below shows a circle PQRS in which ∠PRQ = 54° and ∠SPQ = 97°, find ∠PQS

Diagram for this question
  1. A.61°
  2. B.51°
  3. C.43°
  4. D.39°
  5. E.29°
Show the answer and explanation

Answer: E (29°)

Explanation

∠PSQ = ∠PRQ = 54° (angles in the same segment). In triangle PQS, ∠PQS = 180° − 97° − 54° = 29°.