ECZ 2017 · GCE Paper 1 — Circle Theorems

In the same diagram (BD a diameter, AĈB = 42°, CÂD = 33°), find AĈD.

Diagram for ECZ 2017 · GCE Paper 1
  • 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 = …

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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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