Question 461255
Since the interior angle is 36 degree then the interior angle is 180-36=144 degree

The sum of the interior angles of this polygon is :{{{(n-2)180=n*144}}}, where n 

is the number of angles of the polygon. Solving the last equation we get n=10, 

thus we deal with a decagon, where the sum of the interior angles is:

{{{(10-2)*180=8*180=1440}}}degree.