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0580/23 Oct/Nov 2021, Question 17: Interior and Exterior Angles of Polygons

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks

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The question, in short

A regular polygon has each interior angle equal to 178.5°. Work out how many sides the polygon has.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 1Exterior angle = 180 − 178.5 = 1.5°
  2. 2n = 360 ÷ 1.5
  3. 3n = 240

Answer240

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