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