4MA1/1H Jun 2024, Question 5: Interior and Exterior Angles of Polygons
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Regular pentagon ABCDE with angle AEF = 96°; work out the obtuse angle FED, showing working clearly.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Interior angles of a pentagon add to (5 − 2) × 180 = 540°.
- 2Each interior angle = 540 ÷ 5 = 108°, so angle AED = 108°.
- 3Angles around point E add to 360°.
- 4Angle FED = 360 − (96 + 108) = 156
Answer156
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