Question 670029
What is the sum of a polygons interior angle?

if the number of sides is {{{n}}}, then it will be

{{{(n - 2)*180 = sum_ of_ interior_ angles}}}


in your case {{{sum_ of_ interior_ angles=6300}}}, so


{{{(n - 2)*180 = 6300}}}.......solve for {{{n}}}


{{{180n - 360 = 6300}}}

{{{180n = 6300+360}}}

{{{180n = 6660}}}

{{{n = 6660/180}}}

{{{n = 37}}}.....so, the sum of the interior angles of a polygon with {{{37}}} sides is {{{6300}}} degrees