ECZ 2019 · O-Level Paper 1 — Circle Theorems

In the diagram below, A, B, C and D are points on the circumference of a circle, centre O. DÂT = 40°, BDC = 30° and AT is a tangent to the circle at A. Calculate (c) AOB.

Diagram for ECZ 2019 · O-Level Paper 1
  • A. 120°
  • B. 50°
  • C. 100°
  • D. 80°

Verified working — step 1

From the tangent-chord theorem, ∠ABD = 40°.

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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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