ECZ 2017 · GCE Paper 1 — Circle Theorems

In the diagram below, points A, B, C and D are on a circle. BD is the diameter of the circle. AĈB = 42°, CÂD = 33° and the lines AC and BD intersect at X. Find CB̂D.

Diagram for ECZ 2017 · GCE Paper 1
  • A. 42°
  • B. 24°
  • C. 66°
  • D. 33°

Verified working — step 1

Angle CBD and the given angle CAD stand on the SAME chord CD, from the same side of the circle.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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