Answer: No
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is given by [tex]180(n-2)[/tex]. Setting this equal to 850 degrees,
[tex]180(n-2)=850\\\\n-2=\frac{85}{18}\\\\n=\frac{121}{18}[/tex]
Since this gives n to be a non-integer value, this is an impossible situation since a polygon must have an integer number of side lengths.
