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4MA1/1F Jun 2025, Question 20: Interior and Exterior Angles of Polygons

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

Using a diagram showing angles of 148° and 50° around point B, with AB and BC as sides of a regular n-sided polygon, find n and show working.

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

Solution · 4 marks

  1. 1Angle ABC = 360 − (148 + 50) = 162°
  2. 2Exterior angle = 180 − 162 = 18°
  3. 3n = 360 ÷ 18
  4. 4n = 20

Answer20

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