ECZ 2017 · O-Level Paper 1 — Circle Theorems

In the diagram (A–F on a circle, angle FBD = 70°, angle AEF = 20°, AD a diameter), find angle DEF.

Diagram for ECZ 2017 · O-Level Paper 1
  • A. 70°
  • B. 90°
  • C. 110°
  • D. 160°

Verified working — step 1

Since AD is a diameter, angle AED = 90° (angle in a semicircle). Adding angle AEF = 20° gives angle DEF = 90° + 20° = …

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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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