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WAEC Mathematics 2018 Objective — Question 43

Question 43 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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In the diagram above, PQ is a straight line, (m+n) = 110°, (n+r) = 130° and (m+r) = 120°. Find the ratio m : n : r

  • A. 2:3:4
  • B. 3:4:5
  • C. 4:5:6
  • D. 5:6:7Correct

Explanation

Adding all three equations: 2(m+n+r)=360 → m+n+r=180. Then r=70, m=50, n=60, giving ratio 5:6:7.

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