0580/21 May/Jun 2022, Question 12: Interior and Exterior Angles of Polygons
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
A five-sided shape has interior angles sharing the ratio 4 : 5 : 5 : 7 : 9. Work out how big the biggest of these angles is.
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Solution · 3 marks
- 1Sum of interior angles = (5 − 2) × 180 = 540°
- 2One part = 540 ÷ (4 + 5 + 5 + 7 + 9) = 540 ÷ 30 = 18°
- 3Largest = 9 × 18 = 162°
Answer162
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Also searched as: 0580/21/M/J/22 · 0580_s22_qp_21 · 0580 s22 21 · question 12.
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