4024/22 Oct/Nov 2025, Question 9: Interior and Exterior Angles of Polygons
Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 3 marks
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The question, in short
A regular pentagon and regular hexagon share an edge; using the marked angle x° at the shared vertex outside both shapes, find x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Interior angle of pentagon = (5 − 2) × 180 ÷ 5 = 108°
- 2Interior angle of hexagon = (6 − 2) × 180 ÷ 6 = 120°
- 3Angles at a point: x = 360 − 108 − 120 = 132
Answer132
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