# how to find the interior angle of a polygon , how many sides does a regular polygon have

Jun 29, 2022 ## What is the formula for the sum of the interior angles in a polygon?

The sum of all interior angles of a regular polygon is calculated by the formula S=(n-2) × 180°, where ‘n’ is the number of sides of a polygon. For example, to find the sum of interior angles of a pentagon, we will substitute the value of ‘n’ in the formula: S=(n-2) × 180°; in this case, n = 5.

24 sides

## Which is the regular polygon?

What are Regular Polygons? If all the sides and interior angles of the polygons are equal, they are known as regular polygons. The examples of regular polygons are square, rhombus, equilateral triangle, etc. In regular polygons, not only the sides are congruent but angles are too.

## What is a regular sided polygon?

A regular polygon is an. -sided polygon in which the sides are all the same length and are symmetrically placed about a common center (i.e., the polygon is both equiangular and equilateral). Only certain regular polygons are “constructible” using the classical Greek tools of the compass and straightedge.

## How do you find a side of a regular polygon?

Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.