4MA1/1H Jun 2020, Question 8: 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
A 10-sided polygon has nine interior angles given in the diagram and an exterior angle x at the tenth vertex. Work out the value of x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Sum of interior angles = (10 − 2) × 180 = 1440°
- 2Given angles: 148 + 2 × 150 + 2 × 168 + 2 × 134 + 2 × 125 = 1302°
- 3Tenth interior angle = 1440 − 1302 = 138°
- 4x = 360 − 138 = 222
Answer222
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