ECZ 2021 · GCE Paper 1 — Circle Theorems

In the diagram below, A, B, C and D are points on the circumference of a circle, centre O. Angle DAB = 36°, BC = CD and EBF is a tangent to the circle at B. Find angle BCD.

Diagram for ECZ 2021 · GCE Paper 1
  • A. 36°
  • B. 72°
  • C. 144°
  • D. 108°

Verified working — step 1

A, B, C and D all lie on the circle, so ABCD is a cyclic quadrilateral - and angle BCD sits opposite angle DAB in it.

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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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