ECZ 2012 · O-Level Paper 1 — Circle Theorems
Using the same diagram, calculate angle RUS.
- A. 50 degrees
- B. 33 degrees
- C. 83 degrees
- D. 47 degrees
Verified working — step 1
Angle RQU = 180 - 63 = 117 degrees on the straight line PQR. In triangle QRU, angle QUR = 180 - (117 + 30) = 33 degrees. Along the straight line QUT, angle QUS = 180 - 97 = 83 degrees, and angle QUS = angle QUR + angle RUS, so angle RUS = 83 - 33 = …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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