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WAEC Mathematics 2017 Question 21

Question 21

Circle Theorems

The diagram shows a circle centre O. If ∠ZYW = 33°, find ∠ZWX.

Diagram for this question
  1. A.33°
  2. B.57°
  3. C.90°
  4. D.100°
Show the answer and explanation

Answer: B (57°)

Explanation

WX is a diameter so ∠WZX = 90°; ∠ZXW = ∠ZYW = 33° (same segment). ∠ZWX = 180° − 90° − 33° = 57°.