ECZ 2016 · GCE Paper 1 — Circle Theorems
In the diagram, TR is a diameter of the circle with centre O, and QR and PS are parallel. Angle TÔS = 80° and angle TR̂P = 10°. Find RP̂S.
- A. 40°
- B. 100°
- C. 25°
- D. 50°
Verified working — step 1
TÔS = 80° puts arc TS at 80°, and since TR is a diameter, arc SR = 180 − 80 = 100°. RP̂S is an inscribed angle standing on arc RS, so RP̂S = 100 ÷ 2 = …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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