ECZ 2010 · O-Level Paper 1 — Circle Theorems

Using the same diagram, calculate angle PTS.

Diagram for ECZ 2010 · O-Level Paper 1
  • A. 72°
  • B. 48°
  • C. 24°
  • D. 66°

Verified working — step 1

Angles on the straight line PQR give angle PQT = 180 - 48 = 132°. Triangle PQT is isosceles since PQ = QT, so angle QTP = 180 - 1322= 24°. Ray TP lies between TS and TQ, so angle PTS = angle QTS - angle QTP = 48 - 24 = …

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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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