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WAEC Mathematics 2014 Question 41

Question 41

Triangles and Quadrilaterals

Determine the value of m in the diagram.

Diagram for this question
  1. A.80°
  2. B.90°
  3. C.110°
  4. D.150°
Show the answer and explanation

Answer: B (90°)

Explanation

The marked sides make the cyclic quadrilateral a kite symmetric about the diagonal through the 80° angle, so the angle opposite m equals m. Opposite angles of a cyclic quadrilateral add to 180°, so 2m = 180° and m = 90°.