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WAEC Mathematics 2015 Question 50

Question 50

Triangles and Quadrilaterals

In the diagram, OX bisects ∠YXZ and OZ bisects ∠YZX. If ∠XYZ = 68°, calculate the value of ∠XOZ.

Diagram for this question
  1. A.68°
  2. B.72°
  3. C.112°
  4. D.124°
Show the answer and explanation

Answer: D (124°)

Explanation

∠YXZ + ∠YZX = 112°, so half of it is 56°. In triangle XOZ, ∠XOZ = 180° − 56° = 124°.