ECZ 2023 · O-Level Paper 1 — Circle Theorems
In the following diagram, A, B, C, D and E lie on the circumference of a circle centre O. BD = BE, angle CAD = 18° and angle BEC = 51°. Find (c) angle EBC.
- A. 69°
- B. 60°
- C. 30°
- D. 51°
Verified working — step 1
Equal CHORDS cut off equal ARCS - that is the key BD = BE hands you. Track all the arcs, then halve the one angle EBC stands on.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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