The sum of the angles inside any polygon can be found by splitting the polygon into triangles. The number of triangles that a polygon can be divided into is always two less than its number of sides.

To start, all polygons can be divided into a number of triangles. This is useful because of the fact that the interior angles of any triangle add up to 180 degrees. The sum of the interior angles ...

Angles inside regular polygons can usually be calculated by splitting the polygon into triangles around the centre. Split the regular pentagon into triangles. Each angle at the centre is \(72 ...

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

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

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

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

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

Here's how you would change the formula for the different polygons below. You can even try drawing the shapes out yourself and practise partitioning them into the correct amount of triangles.

It may be useful to refer to M1 properties of angles; M1 properties of 2D shapes and M5 Polygons if necessary. The sum of the angles inside any polygon can be found by spitting the polygon into ...