0580/23 May/Jun 2026, Question 11: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 2 marks
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The question, in short
A regular polygon has an interior angle of 135°; determine how many sides it has.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Exterior angle = 180 − 135 = 45°
- 2Number of sides = 360 ÷ 45 = 8
Answer8
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