WAEC Mathematics 2020 Objective — Question 41

Question 41 of 50 from the West African Examinations Council (WAEC) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

In the diagram, PQ is a straight line. If m = 1/2(x+y+z), find the value of m.

• A. 45 deg
• B. 60 degCorrect
• C. 90 deg
• D. 100 deg

Explanation

Since PQ is a straight line, x+y+z+m=180 deg (angles on a straight line). Given m=(1/2)(x+y+z), i.e. x+y+z=2m, substituting gives 2m+m=180, so 3m=180, m=60 deg.

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