The sum of the measures of the interior angles of a polygon is 500°. what type of polygon is it?

There is no polygon having interior angles whose measures total 500 degrees.

Explanation:

The sum of the interior angles of a polygon with n sides is equal to 180∘ * (n-2).

So, If there is a polygon whose interior angles total 500 degrees, then

180∘ * (n-2) = 500

∴n-2 = 500∘ 180∘ = 2.78

∴n=4.78

Since n is not a whole number, there is no such polygon whose interior angles total 500 degrees.