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4MA1/1F Jun 2021, Question 11: Interior and Exterior Angles of Polygons

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

Use the square ABCD and regular pentagon CDEFG in the diagram to calculate the size of the angle marked x.

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

Solution · 3 marks

  1. 1Interior angle of a regular pentagon = 540 ÷ 5 = 108°
  2. 2The angle in the square is 90°.
  3. 3Angles at a point add to 360°: x = 360 − (90 + 108) = 162

Answer162

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