ECZ 2017 · GCE Paper 1 — Circle Theorems
In the same diagram (BD a diameter, AĈB = 42°, CÂD = 33°), find AĈD.

- A. 48°
- B. 33°
- C. 42°
- D. 57°
Verified working — step 1
AĈB = 42° puts arc AB at 84°. BD is a diameter, so the arc from B to D through A is 180°: arc AD = 180 − 84 = 96°. AĈD stands on arc AD, so AĈD = 96 ÷ 2 = …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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