ECZ 2019 · GCE Paper 1 — Circle Theorems
In the diagram, A, B, C, D and E are points on the circumference of a circle with centre O. DE = AD, AĈB = 20° and AÔE = 80°. Find AD̂E.
- A. 80°
- B. 40°
- C. 20°
- D. 60°
Verified working — step 1
The angle at the centre is twice the angle at the circumference standing on the same arc. AÔE = 80° stands on arc AE, and AD̂E stands on the same arc from the circumference, so AD̂E = 80° ÷ 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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