The exterior angle of a regular polygon is 40°. How many sides does the polygon have?

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Question

The exterior angle of a regular polygon is 40°. How many sides does the polygon have?

Accepted Answer

9 — Award 1 mark for correct answer. The sum of exterior angles of any polygon is 360°. Number of sides = 360° ÷ 40° = 9. A is incorrect — a 7-sided polygon has exterior angles of approximately 51.4°. B is incorrect — an 8-sided polygon has exterior angles of 45°. D is incorrect — a 10-sided polygon has exterior angles of 36°.

Answer

10

Answer

8

Answer

9

Answer

7

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