GCE Mathematics 1990 Question 33

Question 33

Triangles and Quadrilaterals

Use the diagram below. Which angle is equal to ∠VWZ?

Diagram for this question
  1. A.∠VXZ
  2. B.∠VYZ
  3. C.∠XZW
  4. D.∠YXZ
  5. E.∠VYW
Show the answer and explanation

Answer: A (∠VXZ)

Explanation

W, X, Z and V lie on the circle, so ∠VWZ and ∠VXZ stand on the same chord VZ in the same segment and are equal. Y is not on the circle.