Geometry · Quadrilaterals & Polygons

Exterior Angle Sum

HSG-CO.C.11

Definition

The exterior angles of any convex polygon total 360 degrees.

Examples

  • One exterior angle per vertex, and they always sum to 360 degrees, no matter how many sides.
  • A regular hexagon's six exterior angles are each 60 degrees, summing to 360 degrees.

Key rule

Exterior angle sum is always 360 degrees, regardless of the number of sides.

Memory hook

Always 360 degrees — no matter how many sides.