WAEC Mathematics 2015 Theory — Question 19
Question 19 of 22 from the West African Examinations Council (WAEC) Mathematics 2015 Theory paper, with the correct answer and a full explanation.
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11(b). In the diagram, WY and WZ are straight lines, O is the centre of circle WXM and ∠XWM=48°. Calculate the value of ∠WYZ.
Model answer
∠XWM=90° (angle in semicircle, since WM is a diameter). In triangle XWM: ∠XMW=180−(90+48)=42°. Since WXYZ... ∠WYZ = ∠XMW = 42° (exterior angle of a cyclic quadrilateral equals the interior opposite angle).
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