Final answer:
The sum of the angle measure of the exterior angles of any polygon is always 360 degrees.
Step-by-step explanation:
The sum of the angle measure of the exterior angles of any polygon is always 360 degrees. This means that if you add up the measures of all the exterior angles of any polygon, the total will always be 360 degrees.
For example, if you have a triangle, which is a three-sided polygon, each exterior angle would measure 180 degrees. So, 180 degrees + 180 degrees + 180 degrees = 540 degrees. But since we are considering the exterior angles, which are supplementary to the corresponding interior angles, we subtract 180 degrees from each exterior angle to get the sum of the exterior angles: 360 degrees.
This property holds true for any polygon, regardless of the number of sides it has. The total sum of exterior angles of any polygon will always be 360 degrees.