# Find the number of polygon sides given an interior angle sum of 540.

## Enter Polygon Interior Angle Sum

How many sides does a polygon have:
with a sum of interior angles = 540.?

D = 180(n - 2)

## Divide each side by 180

 n - 2  = D 180

n = D/180 - 2

## Solve for n when D = 540.

n = 540./180 + 2
n = 3 + 2

n = 5

### How does the Polygon Side Calculator work?

Free Polygon Side Calculator - Determines the sides of a polygon given an interior angle sum.
This calculator has 1 input.

### What 1 formula is used for the Polygon Side Calculator?

D = 180(n - 2)

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Polygon Side Calculator?

angle
the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
polygon
A plane figure bounded by a set of straight lines
side
line segment joining two vertices in a polygon also known as an edge
sum
the total amount resulting from the addition of two or more numbers, amounts, or items