ECZ 2017 · GCE Paper 1 — Circle Theorems

In the same diagram (BD a diameter, AĈB = 42°, CÂD = 33°, AC and BD intersecting at X), find AX̂B.

Diagram for ECZ 2017 · GCE Paper 1
  • A. 75°
  • B. 105°
  • C. 90°
  • D. 84°

Verified working — step 1

Trap the angle inside triangle BXC, then use the exterior-angle rule: an exterior angle equals the sum of the two opposite interior angles.

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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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