ECZ 2010 · O-Level Paper 1 — Circle Theorems

In the diagram, PQR is parallel to STV, angle SQT = 90°, angle QST = 42° and PQ = QT. Calculate angle TQR.

Diagram for ECZ 2010 · O-Level Paper 1
  • A. 42°
  • B. 48°
  • C. 90°
  • D. 132°

Verified working — step 1

In triangle SQT the angles sum to 180, so angle QTS = 180 - 90 - 42 = 48°. PQR is parallel to STV with QT as transversal, so angle TQR = angle QTS = …

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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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