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.
- A. 75°
- B. 105°
- C. 90°
- D. 84°
Verified working — step 1
The angle between two chords equals half the SUM of the two arcs it and its vertical opposite cut off: AX̂B = ½(arc AB + arc CD) = ½(84° + 66°) = …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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