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WAEC Mathematics 2014 Question 8

Question 8

Triangles and Quadrilaterals

In the diagram, the value of x + y = 220°. Find the value of n.

Diagram for this question
  1. A.20°
  2. B.40°
  3. C.60°
  4. D.80°
Show the answer and explanation

Answer: B (40°)

Explanation

x and y are exterior angles at the base. The interior base angles are 180° − x and 180° − y, which add to 360° − 220° = 140°. So n = 180° − 140° = 40°.