GCSE Maths (Edexcel)

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Angles in Regular Polygons

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Geometry and Measures Properties and Constructions

Angles in Regular Polygons

2:20 Angles in Shapes
Spec G3 G6
Previous Exterior Angles Around a Polygon Next Polygons
  • Regular polygons have equal interior angles
  • A square is an example of a regular quadrilateral with equal angles of 90 degrees
  • The sum of the interior angle and exterior angle at a vertex of a regular polygon is 180 degrees
  • The exterior angles of a regular polygon can be calculated by subtracting the interior angle from 180 degrees
  • The sum of the exterior angles in a polygon is always 360 degrees
  • The number of sides of a regular polygon can be calculated by dividing 360 by the measure of each exterior angle
  • In the example given, the regular polygon has 10 sides

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