WAEC Mathematics 2015 Objective — Question 50
Question 50 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.
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In the diagram above, line OX bisects ∠XYZ and line OZ bisects ∠YZX. If ∠XYZ=68°, calculate the value of ∠XOZ.
- A. 68°
- B. 72°
- C. 112°
- D. 124°Correct
Explanation
Half of ∠XYZ = 34°. Using the property that ∠XOZ = 90°+½∠XYZ (incentre angle property) gives ∠XOZ = 90+34 = 124°.
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