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WAEC Mathematics 2018 Question 48

Question 48

Angles and Polygons

In the diagram. PQ//RS. Find x in terms of y and z.

Diagram for this question
  1. A.x = 240° − y − z
  2. B.x = 180° − y − z
  3. C.x = 360° + y − z
  4. D.x = 360° − y − z
Show the answer and explanation

Answer: D (x = 360° − y − z)

Explanation

Use co-interior angles between the parallel lines on each crossing line, then the angle sum of the triangle containing x: this gives x = 360° − y − z.