Geometric Angles Explorer

Internal and External Angles in Polygons

Regular Polygons:

  • Sum of interior angles = (n – 2) × 180°.
  • Each interior angle (regular) = ((n – 2) × 180°) / n.
  • Each exterior angle (regular) = 360° / n.

Triangles:

  • The sum of internal angles = 180°.
  • For any vertex, the corresponding external angle = 180° – (internal angle at that vertex).
  • This can help classify a triangle as acute (all interior < 90°), right (one interior = 90°), or obtuse (one interior > 90°).

This tool provides both interactive calculators and visual diagrams for exploring how internal and external angles work in regular polygons and in triangles – including custom analyses based on user inputs.

Angle Calculator

Regular Polygon Calculator

Triangle Angle Analyzer





Diagram of Angles