ECZ 2018 · GCE Paper 1 — Circle Theorems

In the diagram, RWS is a tangent to the circle at W. The points V, W, X and Y are on the circle such that XŶW = 44°, VŴY = 54° and SŴV = 39°. Calculate XṼW.

Diagram for ECZ 2018 · GCE Paper 1
  • A. 54°
  • B. 44°
  • C. 39°
  • D. 88°

Verified working — step 1

XṼW and XŶW both stand on the chord XW from the same side of the circle, so they are angles in the same segment and are equal. XṼW = …

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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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