0580/23 May/Jun 2024, Question 18: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
A regular polygon has two adjacent sides VA and VB; AVX is straight, with angle BVX = y° and angle AVB = 11.5y°. Work out how many sides the polygon has.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Angles on a straight line: y + 11.5y = 180
- 212.5y = 180 → y = 14.4 (exterior angle)
- 3Number of sides = 360 ÷ 14.4 = 25
Answer25
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