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Angle Properties of Polygons

(n2)×180=720(n - 2) \times 180 = 720
Number of sides (n)6
Interior angle sum720°
Each interior angle120.0°
Each exterior angle60.0°
  • Set the polygon to a triangle (3 sides) — confirm the interior angle sum is 180°
  • Set the polygon to a hexagon (6 sides) — confirm each interior angle is 120°
  • Set the polygon to a pentagon (5 sides) — confirm the interior angle sum is 540°
  • Try any number of sides and confirm all exterior angles still sum to 360° (n × exterior angle)
  • Push the polygon to its maximum number of sides — confirm each interior angle reaches 150°