Find The Sum Of The Measures Of The Exterior Angles Of A Heptagon. Sum of angles n - 2 180 sum of angles 7 - 2 180. It looks like magic but the geometric reason for this is actually simple.
Number of sides 7. Hence the sum of the measures of the exterior angles of a polygon is equal to 360 degrees irrespective of the number of sides in the polygons. To move around these shapes you are making one complete rotation or turn of 360.
Coming to regular polygons they are polygons having equal sides and angles.
It looks like magic but the geometric reason for this is actually simple. In the case of a regular nonagon the measure of one exterior angle is 40 degrees. Polygon Exterior Angle Sum Theorem. The sum of the exterior angles is N.