What's the minimum exterior angle possible of a regular polygon?


To do: To find the minimum exterior angle possible of a regular polygon.

Solution:


The minimum number of sides of a polygon$=3$. The regular polygon of three sides is always $60^{\circ}$.

Therefore, each interior angle is $60^{\circ}$.

The sum of an interior angle and an exterior angle is always supplementary.

The maximum exterior angle possible for a regular polygon $=180^{\circ}-60^{\circ}=120^{\circ}$.

So for an equilateral triangle, each exterior angle is $120^{\circ}$ and interior angle is $60^{\circ}$. 

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Updated on: 10-Oct-2022

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