0580/13 Oct/Nov 2022, Question 24: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks
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The question, in short
Using a diagram of a regular polygon with interior angle (7x + 44)° and exterior angle (x + 8)°, find x and then the number of sides.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Interior + exterior = 180: 7x + 44 + x + 8 = 180
- 28x = 128, so x = 16
- 3Exterior angle = 16 + 8 = 24°
- 4Number of sides = 360 ÷ 24 = 15
Answer15
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Also searched as: 0580/13/O/N/22 · 0580_w22_qp_13 · 0580 w22 13 · question 24.
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