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WAEC Mathematics 2019 Question 40

Question 40

Circle Theorems

In the diagram, RT is a tangent to the circle at R, ∠PQR = 70°, ∠QRT = 52°, ∠QSR = y and ∠PRQ = x. Find the value of y.

Diagram for this question
  1. A.70°
  2. B.60°
  3. C.52°
  4. D.18°
Show the answer and explanation

Answer: C (52°)

Explanation

The angle between a tangent and a chord equals the angle in the alternate segment, so ∠QSR = ∠QRT = 52°.