Math Playground
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.

Sum
(n − 2) × 180°

Examples

  • Triangle (n=3): 180°
  • Quadrilateral (n=4): 360°
  • Pentagon (n=5): 540°
  • Hexagon (n=6): 720°