Find the sum and individual interior/exterior angles of a polygon.
Polygon Type
Angle Stats
Sum of Interior Angles540°
Individual Interior Angle108.00°
Exterior Angle72.00°
About this calculator
Angles in Polygons
The interior angles are the angles inside the polygon at each vertex. The sum of these angles depends on the number of sides, while the sum of exterior angles for any convex polygon is always 360°.
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Pro Tips
Exterior angle = 360° / n.
Interior and exterior angles at any vertex are supplementary (they add up to 180°).
For a triangle (n=3), the sum is 180°. For a quadrilateral (n=4), the sum is 360°.
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Fun Facts
"No matter how many sides a polygon has, if it's convex, you can walk around its boundary and make exactly one full 360° turn."
Formula: Sum = (n - 2) * 180° | Individual = Sum / n
