Geometry & Trigonometry
Basic

Interior Angle Sum

Sum of interior angles of an n-sided polygon.

Formula

S=(n−2)×180°S = (n-2)\times 180\degree

Variables

nNumber of sides

Example

Pentagon: 540°

Did You Know?

The interior angles of any triangle always sum to 180°, but only on a flat surface — on a sphere they add to more.

polygonangle