ECZ 2020 · O-Level Paper 1 — Circle Theorems
In the diagram, P, Q, R, S and T lie on a circle, TQ = TR, PR is parallel to TS, angle TQR = 70° and angle TRP = 20°. Find (c) angle TRS.

- A. 50°
- B. 20°
- C. 70°
- D. 40°
Verified working — step 1
PR ∥ TS gives angle RTS = angle TRP = 20° (alternate angles). In triangle RST, angle TRS = 180° - angle RST - angle RTS = 180° - 110° - 20° = …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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question