What is the sum of the interior angles of a 37-gon

Question

asked Jan 12, 2018 188k views

1 Answer

Mohammad Kamar Shad · Answer 1 · 2018-01-17T21:05:57+0000

The exterior angles must add to 360 degrees, and each has measure
(360)/(37)

degrees. Exterior and interior angles are supplementary, which means each interior angle is
180-(360)/(37)=(6300)/(37)

degrees. With 37 angles, the sum of the interior angles is
37*(6300)/(37)=6300

degrees.