Polygon Exterior Angle Calculator

Compute the exterior angle of a regular polygon by dividing 360° by the number of sides.

Assumes a regular polygon.

Examples

  • n = 6 ⇒ 60°
  • n = 8 ⇒ 45°

FAQ

What is an exterior angle?

It's the angle formed by one side of a polygon and the extension of an adjacent side.

Do the exterior angles sum to 360°?

Yes, for any polygon the exterior angles sum to 360°.

Does this work for irregular polygons?

No, the formula applies only to regular polygons.

How about interior angles?

Interior angle = 180° - exterior angle.

Additional Information

  • Exterior angle = 360 degrees divided by the number of sides of a regular polygon.
  • Interior angle equals 180 degrees minus the exterior angle.
  • As side count increases, each exterior angle decreases toward 0 degrees.