. The sum of the interior angles of a pentagon is
A pentagon is made up of three triangles, the sum of their angles is = 3×180º =540º.
The total of the pentagon's interior angles can alternatively be calculated as follows:
The sum of the interior angles of a polygon with sides equals =( n-2)×180º.
A pentagon has five sides, its interior angles are equal to =(5-2)×180º[ where n=5 ]=3×180º=540º.
Hence, the sum of a pentagon's interior angles is 540º.