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WAEC Mathematics 1997 Question 32

Question 32

Circle Theorems

O is the centre of the circle PQRS. PR and QS intersect at T. POR is a diameter, ∠PQT = 42° and ∠QTR = 64°. Find ∠QRT

Diagram for this question
  1. A.68°
  2. B.64°
  3. C.42°
  4. D.32°
  5. E.22°.
Show the answer and explanation

Answer: A (68°)

Explanation

PR is a diameter, so ∠PQR = 90° and ∠TQR = 90 − 42 = 48°. In triangle QTR, ∠QRT = 180 − 64 − 48 = 68°.