Geometry

Polygon Angles Calculator

Interior sum and each exterior angle for a regular polygon.

Free to use — no sign-up or login.

Regular polygon angles figure A regular polygon with one interior angle and its adjacent exterior angle marked.

Enter valid values to draw the figure.

n = sides · interior / exterior = vertex angles

One interior angle and its adjacent exterior angle are marked on the regular polygon.

Interior sum (°)

Each interior (°)

Each exterior (°)

This free Polygon Angles Calculator covers Interior sum and each exterior angle for a regular polygon.

Interior sum (n−2)180°; exterior 360°/n. Related geometry tools sit beside How it works, with no account required.

Using the Polygon Angles Calculator

Interior sum and each exterior angle for a regular polygon. Typical inputs are Number of sides (n). How it works beside the form states the identity the Polygon Angles Calculator applies.

FAQ

How do I use the Polygon Angles Calculator?

Open the Polygon Angles Calculator, fill Number of sides (n), and read the result. Enter Number of sides (n) for the Polygon Angles Calculator; use finite values in the indicated domain. The calculator reports Interior sum (°), Each interior (°), and Each exterior (°): Interior sum (n−2)180°; exterior 360°/n. Number of sides must be a whole number of at least 3.

What formula does the Polygon Angles Calculator use?

The Polygon Angles Calculator uses the identity in How it works. In words: Enter Number of sides (n) for the Polygon Angles Calculator; use finite values in the indicated domain. The calculator reports Interior sum (°), Each interior (°), and Each exterior (°): Interior sum (n−2)180°; exterior 360°/n. Number of sides must be a whole number of at least 3.