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WAEC Mathematics 1998 Question 33

Question 33

Circle Theorems

In the diagram, O is the centre of the circle and the reflex angle ROS is 264°. Find ∠RTS.

Diagram for this question
  1. A.48°
  2. B.53°
  3. C.60°
  4. D.132°
  5. E.192°.
Show the answer and explanation

Answer: A (48°)

Explanation

The non-reflex angle ROS = 360 − 264 = 96°. The angle at the circumference is half the angle at the centre: 48°.