Is it possible to get a polygon with an interior angle of 290? Explain your answer.

Answer 1

Depends if the polygon is regular, that is, all sides and angles are equal.
sum of angles of pentagon = 180(5-2) = 540 degrees
If regular then each angle would be 108 degrees

If the pentagon is irregular, then sure, it could be 290 degrees.
As long as the 5 angles add up to 540 degrees