ECZ 2025 · GCE Paper 1 — Circle Theorems

In the following diagram A, B, C, D and E are points on the circumference of a circle centre O. Angle ADB = 18°, angle EAD = 31° and BC = CD. Find angle EOD.

Diagram for ECZ 2025 · GCE Paper 1
  • A. 118°
  • B. 31°
  • C. 62°
  • D. 90°

Verified working — step 1

Angle EOD sits at the CENTRE and angle EAD at the circumference, and both stand on the same chord ED - the setup for the angle-at-the-centre theorem.

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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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