Enter the total number of sides of any polygon into the calculator to determine the sum of the interior angles.

## Interior Angle Formula

The following formula can be used to calculate the sum of interior angles of any polygon.

A = (n-2) * 180

• Where A is the sum of all interior angles
• n is the total number of sides of the polygon

## Interior Angle Definition

An interior angle is a measure of the sum of all interior angles of a polygon.

## Interior Angle Example

How to calculate interior angle?

1. First, determine the number of sides.

Count the total number of sides of the polygon you are looking at. For example, a square would have 4 sides and a pentagon would have 5 sides.

2. Next, calculate the sum.

Determine the total sum of the interior angles using the formula A = (n-2)*180. For example, for a pentagon this would equal (5-2)*180= 3*180 = 540.

## FAQ

What is an interior angle?

An interior angle is the measure of the sum of all of the interior angles created by a polygon.