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WAEC Mathematics 2022 Question 36

Question 36

Circle Theorems

In the diagram, triangle MNR is inscribed in circle MNR and PQ is a straight line. If ∠MRN = 41° and ∠PMR = 141°, find ∠QNR.

Diagram for this question
  1. A.39°
  2. B.80°
  3. C.110°
  4. D.141°
Show the answer and explanation

Answer: B (80°)

Explanation

∠RMN = 180° − 141° = 39°. ∠QNR is an exterior angle of triangle MNR, so it equals 39° + 41° = 80°.