ECZ 2017 · GCE Paper 1 — Circle Theorems
In the diagram, points A, B, C and D are on a circle. BD is a diameter, AĈB = 42°, CÂD = 33°, and the lines AC and BD intersect at X. Find CB̂D.

- A. 42°
- B. 24°
- C. 66°
- D. 33°
Verified working — step 1
CB̂D and CÂD both stand on the chord CD from the same side of the circle, so they are equal: CB̂D = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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