Respuesta :

Answer:

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.

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