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JAMB Mathematics 1979 Question 10

Question 10

Circle Theorems

If O is the centre of the circle, <POS equals

Diagram for this question
  1. A.70°
  2. B.75°
  3. C.105°
  4. D.140°
  5. E.150°
Show the answer and explanation

Answer: E (150°)

Explanation

In triangle PQR, <PRQ = 180° − 40° − 35° = 105°, so <PRS = 75° (angles on a straight line). The angle at the centre is twice the angle at the circumference: <POS = 150°.