Calculate the exterior angles of regular polygons and understand the sum of exterior angles.
Polygon Properties
Angle Measurements
72.00°
Exterior Angle
The angles formed outside the polygon by extending its sides.
Interior Angle108.00°
Sum of Exterior360°
About this calculator
What is an Exterior Angle?
An exterior angle is the angle between one side of a polygon and the extension of an adjacent side. For any convex polygon, no matter how many sides it has, the sum of all its exterior angles (one at each vertex) is always exactly 360°.
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Pro Tips
The interior angle and exterior angle at any vertex always add up to 180° (they are supplementary).
As the number of sides 'n' increases, the exterior angle becomes smaller.
For a circle (infinite sides), the 'exterior angle' at any point effectively becomes 0.
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Fun Facts
"The fact that the sum of exterior angles is always 360° is true even for non-regular (irregular) convex polygons."
"Honeybees use 120° interior angles (60° exterior) to create their famous hexagonal combs, which is the most efficient tiling."
"The Pentagon building in Arlington has exterior angles of 72°."
