ECZ 2016 · GCE Paper 1 — Circle Theorems

In the diagram below, TR is diameter of the circle with centre O, and QR and PS are parallel. Angle TÔS = 80° and angle TR̂P = 10°. Find RP̂S.

Diagram for ECZ 2016 · GCE Paper 1
  • A. 40°
  • B. 100°
  • C. 25°
  • D. 50°

Verified working — step 1

Work in ARCS: the centre angle fixes arc TS, the diameter fixes the semicircle, and an inscribed angle is half its own arc.

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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