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0580/21 May/Jun 2025, Question 5: Interior and Exterior Angles of Polygons

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 2 marks

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The question, in short

A regular polygon has interior angle 150°; 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

  1. 1Exterior angle = 180 − 150 = 30°
  2. 2n = 360 ÷ 30 = 12

Answer12

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