0580/22 Feb/Mar 2023, Question 12: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
A regular polygon has interior and exterior angles in the ratio 11:1. Find how many sides the polygon has.
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Solution · 3 marks
- 1Interior + exterior = 180°, split 11 : 1
- 2Exterior angle = 180 ÷ 12 = 15°
- 3Number of sides = 360 ÷ 15 = 24
Answer24
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