ECZ 2016 · O-Level Paper 1 — Circle Theorems

In the diagram below, PR is a diameter of a circle with centre O. Q and S are points on the circumference. The tangent to the circle at the point P meets QS produced at T, ∠PQS = 26° and ∠QPR = 42°. Calculate PR̂S.

Verified working — step 1

Angle PRS and the given angle PQS stand on the SAME chord PS, from the same side of the circle.

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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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