if the exterior angle is 40 degrees the interior angle of the polygon is 180- 40 = 140 degrees. The equation for sides N is interior angle = 180 x (N-2)/N; solving you find N = 9 sides
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The sum of the exterior angles of ANY polygon is 360 degrees.
The sum of the exterior angles of any polygon must be 360 degrees. Subject to that constraint, individual angles can have any measure between 0 and 360 degrees.
The sum of the exterior angles of a polygon = 360360 / 36 = 10 degrees
A regular polygon will have 360 sides with exterior angles of 181 degrees.
12 sides