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JAMB Mathematics 1978 Question 5

Question 5

Angles and Polygons

In the figure below, AB is parallel to CD then x + y + z =

Diagram for this question
  1. A.195°
  2. B.200°
  3. C.180°
  4. D.270°
  5. E.360°
Show the answer and explanation

Answer: E (360°)

Explanation

Draw a line through the vertex z parallel to AB and CD. The co-interior angles on each side add to 180°, so x + y + z = 180° + 180° = 360°.