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WAEC Mathematics 2006 Question 43

Question 43

Triangles and Quadrilaterals

In the diagram, what is x + y in terms of z?

Diagram for this question
  1. A.180° − z
  2. B.180° + z
  3. C.z − 180°
  4. D.z
Show the answer and explanation

Answer: A (180° − z)

Explanation

The angle at the top of the triangle is vertically opposite z, so it equals z. Angles in a triangle add to 180°, so x + y = 180° − z.