Sum of the interior angles of the Polygon

Find the sum of the angles of the polygon

Solution :: First we find the Sum of the interior angles of the triangle and we relate it further to the polygons with 4,5,6 sides and so on...

For a quadrilateral : Number of triangles possible are 2,
For a pentagon.     :  Number of triangles possible are 3,
For a hexagon.       : Number of triangles possible are 4,

For a n- sided polygon number of triangles possible are (n-2)

The sum of the interior angles of a n-sided polygon are (n-2)*180° = (n-2)*π radians.