GCSE Maths (AQA)

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Geometry and measures Properties and constructions

Interior Angles in a Polygon

2:33 apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs
Spec 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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372

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