4.1.10

Angles in a Polygon

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Angles in a Polygon

The interior (inside) angles of a polygon (a shape made of straight lines) are the angles inside the shape.

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Interior (inside) angles

  • The sum of the interior angles is (n - 2) × 180° where n is the number of sides the polygon has.
Illustrative background for Exterior anglesIllustrative background for Exterior angles ?? "content

Exterior angles

  • If you extend the side of a polygon outside the shape then the exterior angle is the angle between the extended line and the adjacent edge.
  • The exterior angles add up to 360°.
  • In a regular polygon the exterior angle + interior angle = 180°.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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