GCSE Maths (AQA)

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Geometry and measures Properties and constructions

Angles in Regular Polygons

2:20 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 Exterior Angles Around a Polygon Next Introduction to Transformations
  • 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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372

questions for Geometry and measures

164

questions for Properties and constructions