The exterior angles must add to 360 degrees, and each has measure [tex]\dfrac{360}{37}[/tex] degrees. Exterior and interior angles are supplementary, which means each interior angle is [tex]180-\dfrac{360}{37}=\dfrac{6300}{37}[/tex] degrees. With 37 angles, the sum of the interior angles is [tex]37\times\dfrac{6300}{37}=6300[/tex] degrees.
