Calculate the sum of interior angles and the individual angle measures for regular polygons. Interior angles are the angles inside a shape at each vertex.
Polygon Config
Polygon Angle Properties
PentagonPolygon
Polygon Type
Sum of Interior Angles540°
Each Interior Angle108.00°
Geometric Projection
About this calculator
Interior Angle Theorems
The interior angles of a polygon are the angles between adjacent sides inside the polygon. For any polygon with n sides, the sum of all interior angles is always proportional to the number of triangles it can be divided into (n-2).
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Pro Tips
Linear Pair: The interior and exterior angle at any vertex sum to 180°.
Regularity: All interior angles are equal only in regular polygons.
Minimum: A triangle is the simplest polygon, with a sum of 180°.
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Fun Facts
"As the number of sides n increases, the interior angle gets closer to 180° but never reaches it."
"A 360-gon is called a 'megagon' and its interior angle is 179.0°."
"Bees use hexagonal cells because the 120° interior angle allows for the most efficient storage space."
