Question

The exterior angle measure of a regular polygon is 23.4º. How many sides does the polygon have?

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Answer 1

• 15 sides

Explanation:

• Note 23.4° seems to be a typo. Replaced with 24°

Sum of exterior angles of any polygon is 360°

Each angle measure is 360°/n, where n is the number of sides of the regular polygon

So the number of sides:

• n = 360°/24°
• n = 15