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WAEC Mathematics 2020 Question 41

Question 41

Angles and Polygons

In the diagram, PQ is a straight line. If m = ½(x + y + z), find value of m.

Diagram for this question
  1. A.45°
  2. B.60°
  3. C.90°
  4. D.100°
Show the answer and explanation

Answer: B (60°)

Explanation

Angles on a straight line add to 180°: x + y + z + m = 180°. Since x + y + z = 2m, 3m = 180° and m = 60°.