Is it true that all exterior angles of any polygon, be it convex, concave, or complex, must be less than 180 degrees? I believe this to be true and cannot think of any counterexample. Am I correct? If so, is there a simple proof or even an intuitive explanation for this?
2026-03-30 23:12:39.1774912359
Must an exterior angle of a polygon be less than 180 degrees?
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The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. So the interior and exterior angle will add to 180 degrees. For the exterior angle to be 180 degrees, the interior angle must be 0 degrees. So yes, the exterior angle will always be less than 180 degrees.