WAEC Mathematics 2014 Theory — Question 16
Question 16 of 23 from the West African Examinations Council (WAEC) Mathematics 2014 Theory paper, with the correct answer and a full explanation.
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9(b). In the diagram, O is the centre of the circle. If WX is parallel to YZ and ∠WXY=50°, find the value of: (i) ∠WYZ; (ii) ∠YEZ.
Model answer
(i) Since WX∥YZ, with XY as transversal, ∠WYZ = ∠WXY = 50° (alternate angles). (ii) In triangle EYZ (E is the intersection of the diagonals), by the isosceles symmetry of the trapezium, the base angles at Y and Z are each 50°. Sum of angles in triangle EYZ: ∠YEZ = 180°−50°−50° = 80°
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