How to find the number of sides in a polygon?

We can find the number of sides of a regular polygon using one interior angle.

Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180(n-2)/n, where n is the number of sides of the polygon.

Explanation:

Let us find the number of sides a regular polygon with an interior angle of 108°.

⇒ 180(n−2)/n = 108°

⇒ 180n − 360 = 108n

⇒ 72n = 360

⇒ n = 5

So, a regular polygon with an interior angle of 108° would have 5 sides.

Hence, we can use the formula of interior angle of a polygon to find the number of sides of a polygon. interior angle = 180(n-2)/n