ECZ 2011 · O-Level Paper 1 — Circle Theorems
In the diagram, ABCDEF is a regular hexagon and HEFG is part of a regular pentagon. Calculate angle DEH.
- A. 132°
- B. 108°
- C. 120°
- D. 152°
Verified working — step 1
The interior angle of a regular hexagon is 120°, so angle DEF = 120. The interior angle of a regular pentagon is 108°, so angle HEF = 108. Angles round the point E add to 360, so angle DEH = 360 - 120 - 108 = …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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