Chapter 4

Polygons

Interior and exterior angles of polygons, including regular polygons — with an interactive exercise.

The interior angles of a polygon with $n$ sides add up to $(n-2) \times 180°$.

The exterior angles of any polygon always add up to $360°$. For a regular polygon, each exterior angle is $\dfrac{360°}{n}$. Example: a hexagon's interior angles total $(6-2) \times 180° = 720°$.

Remember

  • Interior sum $= (n-2)\times 180°$.
  • Exterior angles always sum to $360°$.

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