ECZ 2024 · GCE Paper 1 — Circle Theorems

In the diagram, P, Q, R, S are points on the circle with centre O and angle PQR = 68°. TRU is a tangent at R. Find angle POR.

Diagram for ECZ 2024 · GCE Paper 1
  • A. 136°
  • B. 44°
  • C. 112°
  • D. 68°

Verified working — step 1

Angle POR sits at the CENTRE O, angle PQR at the circumference, and both stand on the same chord PR - exactly 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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