GCSE Maths (Edexcel)

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Interior Angles in a Polygon

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Geometry and Measures Properties and Constructions

Interior Angles in a Polygon

2:33 Angles in Shapes
Spec G3 G6
Previous Interior Angles in a Triangle Next Exterior Angles Around a Polygon
  • Any polygon can be divided into triangles by drawing diagonals from a vertex
  • The number of triangles in a polygon is always two less than the number of sides
  • The sum of the interior angles of any polygon is equal to the number of sides minus two, multiplied by 180 degrees
  • The sum of the interior angles of a polygon is the same as the sum of all the angles of the triangles it is divided into
  • To calculate the sum of the interior angles for all the triangles, multiply 180 by the number of triangles
  • The formula for the sum of the interior angles of a polygon is: number of sides minus two, multiplied by 180 degrees
  • The sum of the interior angles for a quadrilateral is 360 degrees

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