0580/11 Oct/Nov 2024, Question 24: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks
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The question, in short
A regular polygon has an interior angle 132° larger than its exterior angle; use the diagram showing angles (x + 132)° and x° to calculate how many sides the polygon has.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Interior + exterior = 180: x + x + 132 = 180
- 22x = 48 → exterior angle x = 24°
- 3Number of sides = 360 ÷ 24 = 15
Answer15
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