Learn more about how angles in an 𝒏-sided polygon add to 180° × (𝒏 – 2) with this BBC Bitesize Maths article. For students between the ages of 11 and 14.

The sum of the angles in a triangle is 180°. To find the sum of the interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 \ (\div\) number of sides.

The sum of the exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle in a regular polygon is: 360 ÷ number of sides.

It’s possible to work out the angles of polygons with more than 4 sides by cutting them up into triangles. This is a regular hexagon. It has 6 sides and it can be divided into 4 triangles, like ...

An exterior angle of a regular polygon can be found by dividing 360° by the number of sides (𝒏). Eg, for an eight-sided shape (octagon), divide 360° by 8 to find the size of an exterior angle ...

It’s possible to work out the angles of polygons with more than 4 sides by cutting them up into triangles. This is a regular hexagon. It has 6 sides and it can be divided into 4 triangles, like ...