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WAEC Mathematics 2022 Question 31

Question 31

Circle Theorems

In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠SNR.

Diagram for this question
  1. A.36°
  2. B.42°
  3. C.54°
  4. D.72°
Show the answer and explanation

Answer: C (54°)

Explanation

The radius ON is perpendicular to the tangent, so ∠SNR = 90° − ∠ONS = 90° − 36° = 54°.