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.

Diagram for ECZ 2020 · O-Level Paper 1
  • 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° = …

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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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