Question: what is the degrees of a 7 sided shape

title: Polygon
text: Exterior angle -- The exterior angle is the supplementary angle to the interior angle . Tracing around a convex n - gon , the angle `` turned '' at a corner is the exterior or external angle . Tracing all the way around the polygon makes one full turn , so the sum of the exterior angles must be 360 ° . This argument can be generalized to concave simple polygons , if external angles that turn in the opposite direction are subtracted from the total turned . Tracing around an n - gon in general , the sum of the exterior angles ( the total amount one rotates at the vertices ) can be any integer multiple d of 360 ° , e.g. 720 ° for a pentagram and 0 ° for an angular `` eight '' or antiparallelogram , where d is the density or starriness of the polygon . See also orbit ( dynamics ) .