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WAEC Mathematics 2005 Question 42

Question 42

Circle Theorems

In the diagram PQRS is a circle, |PT| = |QT| and ∠QPT = 70°. What is the size of ∠PRS?

Diagram for this question
  1. A.40°
  2. B.70°
  3. C.80°
  4. D.140°
Show the answer and explanation

Answer: B (70°)

Explanation

PT = QT, so ∠PQT = ∠QPT = 70°, i.e. ∠PQS = 70°. ∠PRS = ∠PQS (angles on the same arc PS) = 70°.