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0580/31 May/Jun 2026, Question 23: Interior and Exterior Angles of Polygons

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 2 marks

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The question, in short

Work out the size of one interior angle of a regular pentagon.

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

Solution · 2 marks

  1. 1Exterior angle = 360 ÷ 5 = 72°
  2. 2Interior angle = 180 − 72 = 108°

Answer108

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Also searched as: 0580/31/M/J/26 · 0580_s26_qp_31 · 0580 s26 31 · question 23.
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