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WAEC Mathematics 2010 Question 44

Question 44

Circle Theorems

In the diagram, O is the centre of the circle. Find the value of x.

Diagram for this question
  1. A.34
  2. B.29
  3. C.17
  4. D.14
Show the answer and explanation

Answer: D (14)

Explanation

The angle at the centre (56°) is twice the angle at the circumference on the same arc: 2 × 2x = 56°, so x = 14.