if a regular polygon has 24 sides, what is the measure of each exterior angle of the polygon?

June 28, 2026 • 1 min read

Each exterior angle measures 15°.

For any regular polygon, the sum of all exterior angles is 360°.

If the polygon has 24 equal exterior angles, then each one is

exterior angle=360∘24=15∘\text{exterior angle}=\frac{360^\circ}{24}=15^\circ exterior angle=24360∘=15∘

So a regular 24-sided polygon has exterior angles of 15° each.

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