Polygon Angles Calculator

Enter number of sides.
Math

Calculate polygon angles with explicit inputs and a worked example.

Formula

interior sum = (n−2)180°; regular interior = (n−2)180°/n

Example Calculation

Example inputs
  • Number of sides: 6

A hexagon has interior angle sum 720°; if regular, each angle is 120°.

Frequently asked questions

How do I use this calculator?

Enter number of sides. The result updates automatically. Use Reset to restore the example values.

What method does it use?

interior sum = (n−2)180°; regular interior = (n−2)180°/n. Simple planar polygon. Individual angles shown assume a regular convex polygon.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.