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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
