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WAEC Mathematics 2025 Objective — Question 30

Question 30 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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In the diagram, MN//PQ, angle MNP = 2x and angle NPQ = (3x-50) deg. Find the value of angle NPQ.

Diagram for question 30
  • A. 200 deg
  • B. 150 deg
  • C. 120 deg
  • D. 100 degCorrect

Explanation

Since MN//PQ, alternate angles are equal: 2x=3x-50, giving x=50. So angle NPQ = 3(50)-50 = 100 deg.

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