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WAEC Mathematics 2007 Question 24

Question 24

Circle Theorems

In the diagram, O is the centre of the circle and ∠PQR = 106°. Find the value of y.

Diagram for this question
  1. A.16
  2. B.37
  3. C.74
  4. D.127
Show the answer and explanation

Answer: C (74)

Explanation

The reflex angle POR at the centre is twice ∠PQR = 212°. So 2y = 360° − 212° = 148° and y = 74.