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WAEC Mathematics 2022 Objective — Question 36

Question 36 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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

  • A. 39°
  • B. 80°Correct
  • C. 110°
  • D. 141°

Explanation

∠QNR is the exterior angle related to the triangle's interior angles; using angle-sum relationships from the diagram, ∠QNR=80°.

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