The equation for the sum of interior angles is given by:
[tex]180(x - 2) = sum[/tex]
where x is the number of sides of the polygon.
[tex]180(x - 2) = 5940[/tex]
[tex]180x - 360 = 5940[/tex]
[tex]180x = 5940 + 360[/tex]
[tex]180x = 6300[/tex]
[tex]x = \frac{6300}{180} = 35 \: sides[/tex]
