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JAMB Mathematics 1994 Question 31

Question 31

Circle Theorems

In the diagram above, PTS is a tangent to the circle TQR at T, calculate ∠RTS.

Diagram for this question
  1. A.120°
  2. B.70°
  3. C.60°
  4. D.40°
Show the answer and explanation

Answer: B (70°)

Explanation

In triangle QRT, angle RQT = 180° − 60° − 50° = 70°. By the alternate segment theorem, the angle between tangent TS and chord TR equals angle RQT, so RTS = 70°.