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WAEC Mathematics 1995 Question 37

Question 37

Angles and Polygons

In the diagram below, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC.

Diagram for this question
  1. A.30°
  2. B.45°
  3. C.60°
  4. D.75°
  5. E.90°
Show the answer and explanation

Answer: E (90°)

Explanation

∠BAC + ∠ACD = 180° (co-interior angles), so their halves add up to 90°. In triangle AEC, ∠AEC = 180° − 90° = 90°.