How many degrees in a poloygon?

Answer 1

say n is the number of sides in the polygon

then 360/n is the number of degrees in the central angle for the triangles that make up the n-gon.

then 180-(360/n) is the number of degrees in each triangle that are part of the angle counts.

there are n triangles.

so 180(n-2)

sanity check says it works for triangles and quadrilaterals, so its probably good.