What is the sum of the measures of the exterior angles of any convex polygon

 If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°

360 degrees is  sum of the measures of the exterior angles of any convex polygon.

Step-by-step explanation:

Convex Polygon:

A convex polygon is a polygon with all its interior angle less than 180 degrees.Thus, all the vertices of the polygon will be away from the interior of the polygon.If all the angles are not less than 180 degrees then it becomes concave polygon.Example: Triangle is a convex polygon with three sides.

Exterior angle sum Property:

If we extend the side of the polygon, then the angle formed by the extended side and polygon side is an exterior angle.The sum of all the exterior angles if a convex polygon is 360 degrees.If this convex polygon is a regular polygon, then the sum is 360 degrees and each exterior angle is equal to , where n is the number of sides in regular polygon.