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WAEC Mathematics 2000 Question 40

Question 40

Circle Theorems

In the diagram, PQS is a circle with centre O. RST is a tangent at S and ∠SOP = 96°. Find ∠PST

Diagram for this question
  1. A.42°
  2. B.48°
  3. C.60°
  4. D.66°
Show the answer and explanation

Answer: B (48°)

Explanation

The angle between a tangent and a chord is half the angle the chord subtends at the centre: ½ × 96° = 48°.