There are 300 degrees in the sum of the interior angles of a polygon.

The sum of the interior angles of a ngon is 180 (n-2)

so

if we had

300=180 (n-2)

divide boths ies by 180

5/3=n-2

add 2 to both sides (2=6/3)

11/3=n

you can't have 11/3 number of sides, yo have to have a whole number of sides

so no, that is impossible, will never happen