Geometry
Interior angles of polygons
Triangle 180°, quad 360°, pentagon 540° — sum grows by 180° per side.
The interior angles of a polygon are the corners inside it. Their sum depends only on the number of sides.
Build a polygon
regular pentagon
interior each
108.0°
108.0°
exterior each
72.0°
72.0°
interior sum
540°
540°
diagonals
5
5
Sum
Examples
- Triangle (n=3): 180°
- Quadrilateral (n=4): 360°
- Pentagon (n=5): 540°
- Hexagon (n=6): 720°