ECZ 2016 · O-Level Paper 1 — Circle Theorems

PR is a diameter of a circle with centre O; Q and S are on the circumference. The tangent at P meets QS produced at T, with ∠PQS = 26° and ∠QPR = 42°. Calculate PRS.

Diagram for ECZ 2016 · O-Level Paper 1
  • A. 64°
  • B. 26°
  • C. 48°
  • D. 42°

Verified working — step 1

∠PRS and ∠PQS stand on the same chord PS in the same segment, so ∠PRS = ∠PQS = …

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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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