The sum of the exterior angle measures of a convex polygon, one angle at each vertex, is 360. To find the sum of the measures of the exterior angles, one at each vertex, of a convex 27-gon. For any convex polygon, the sum of the measures of its exterior angles, one at each vertex, is 360
The sum of the exterior angles of regular polygon will always be 360°.
In this case, each exterior angle would measure approximately 13°.
To find the measure of each exterior angle you would divide n (the number of sides) from 360 (the sum of the exterior angles) = 360/n. If we apply this to the question, we would have 360/27 (where 27 is the number of sides) which equals 13.33...
