4MA1/2FR Jan 2020, Question 26: Interior and Exterior Angles of Polygons
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks
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The question, in short
Using two matching isosceles triangles with base angles 66° and two matching regular polygons with n sides, find n.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Apex angle of each triangle = 180 − 2 × 66 = 48°
- 2Each polygon interior angle = (360 − 48) ÷ 2 = 156°
- 3Exterior angle = 180 − 156 = 24°
- 4n = 360 ÷ 24 = 15
Answer15
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