WAEC Mathematics 2018 Theory — Question 8

Question 8 of 23 from the West African Examinations Council (WAEC) Mathematics 2018 Theory paper, with the correct answer and a full explanation.

4.(b) In the diagram above, |WX| = |XY| = |YZ| and ∠WXY = 80°. What is the size of ∠XWZ?

Model answer

Since WX=XY=YZ, the triangles formed are isosceles. Working through the base angles (each equal to b°=50°), ∠XWZ = b°+b° = 100°.

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