Geometry & Trigonometry
Basic

Sum of Interior Angles

Total of interior angles of an n-sided polygon.

Formula

S=(n−2)×180∘S = (n - 2)\times 180^\circ

Variables

nNumber of sides

Example

Pentagon → 540°

Did You Know?

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

polygonanglesbasics