ECZ 2016 · GCE Paper 1 — Circle Theorems
In the same diagram (TR a diameter, QR ∥ PS, TÔS = 80°, TR̂P = 10°), find PŜO.
- A. 50°
- B. 30°
- C. 10°
- D. 40°
Verified working — step 1
OT and OS are radii, so triangle OTS is isosceles with OŜT = OT̂S = 180 − 802= 50°. The ray SP lies between ST and SO with PŜT = 10°, so PŜO = 50 − 10 = …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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