Regular polygons have interior angles which are all equal to each other.

To work out the sum of the interior angles of a polygon, we first work out the sum of its angles by splitting it into triangles.

We then divide this sum by the number of angles.

**Example**

Work out the interior angle of a regular hexagon.

**Answer**

The hexagon can be split into triangles.

There are 4 triangles inside the hexagon.

4 x 180º = 720º

The sum of the interior angles of a hexagon is 720º.

There are 6 equal angles inside the hexagon.

Each interior angle is 720º ÷ 6 = **120º**