what is the sum of the measures of the exterior angles of a polygon with 11 sides

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

For a polygon with 11 sides, each exterior angle would be 360/11 ≈ 32.73 degrees.

Therefore, the sum of the measures of the exterior angles of a polygon with 11 sides is 11 * 32.73 = 360 degrees.