4024/11 May/Jun 2024, Question 7: Interior and Exterior Angles of Polygons
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
A square and a regular pentagon share one edge; using the diagram, calculate the value of the angle x at the shared vertex.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Exterior angle of pentagon = 360 ÷ 5 = 72°, so interior angle = 180 − 72 = 108°
- 2Angle in square = 90°
- 3Angles round a point: x = 360 − 90 − 108
- 4x = 162
Answer162
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