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 BAD.

Diagram for ECZ 2026 · GCE Paper 1
  • A. 105°
  • B. 75°
  • C. 115°
  • D. 130°

Verified working — step 1

ABCD is a cyclic quadrilateral, so angle BAD is supplementary to the opposite angle BCD. BCD is made of the two angles at C on either side of OC.

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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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