ECZ 2026 · GCE Paper 1 — Circle Theorems

The points A, B, C and D are on the circumference of a circle centre O such that angle OBC = 50° and angle OCD = 25°. BT is a tangent to the circle at B. Find angle BDC.

Diagram for ECZ 2026 · GCE Paper 1
  • A. 80°
  • B. 50°
  • C. 25°
  • D. 40°

Verified working — step 1

Angle BDC stands on chord BC, and so does the angle at the centre, BOC. Find BOC from the isosceles triangle OBC, then halve it.

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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