WAEC Mathematics 2006 Question 15

Question 15

Angles and Polygons

In the diagram, PQ//RS, find x° + y°.

Diagram for this question
  1. A.360°
  2. B.300°
  3. C.270°
  4. D.180°
Show the answer and explanation

Answer: D (180°)

Explanation

Because PQ is parallel to RS, the angle between RQ produced and the line through Q towards S equals y° (corresponding angles). That angle and x° lie on a straight line, so x° + y° = 180°.