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WAEC Mathematics 1996 Question 39

Question 39

Angles and Polygons

In the diagram, AB, CD and XY are straight lines intersecting at W. Find <CWX

Diagram for this question
  1. A.20°
  2. B.80°
  3. C.100°
  4. D.120°
  5. E.140°
Show the answer and explanation

Answer: B (80°)

Explanation

Vertically opposite angles: <AWC = <BWD = 40° and <XWB = <AWY = 60°. The angles above AB add to 180°, so <CWX = 180° − 40° − 60° = 80°.