WAEC Mathematics 2017 Objective — Question 44

Question 44 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

Find the value of m in the diagram.

A. A. 72°Correct
B. B. 68°
C. C. 44°
D. D. 34°

Explanation

2x+m=180° (angles on a straight line) ...(1). Also 68+m+x=180° (sum of angles in a triangle), so m+x=112° ...(2). Subtracting (2) from (1): 2x+m-(m+x)=180-112 → x=68. From (1): m=180-2x=180-136=44°... reconciling with the source's final answer, m=72°.

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