ECZ 2012 · O-Level Paper 1 — Circle Theorems
In the diagram, PQR is parallel to TS, QUT is a straight line, angle QRU = 30 degrees, angle TSU = 20 degrees and angle SUT = 97 degrees. Calculate angle PQT.
- A. 97 degrees
- B. 30 degrees
- C. 117 degrees
- D. 63 degrees
Verified working — step 1
In triangle UTS the angles sum to 180, so angle UTS = 180 - (97 + 20) = 63 degrees. PQR is parallel to TS with QT as transversal, so angle PQT and angle QTS are alternate angles: angle PQT = …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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