Is there a regular polygon with an interior angle sum of 9000°, if so, what is it

Question

anonymous · Answer

Every regular polygon has its exterior angles summing to $360^\circ$. Take a regular polygon with $n$ sides, then each exterior angle has measure $\dfrac{360^\circ}{n}$.

Each interior angle is supplementary to its adjacent exterior angle, i.e. each interior angle measures $180^\circ-\dfrac{360^\circ}{n}$. With $n$ total angles, this means the sum of interior angles must be $180^\circ n-360^\circ$.

Is there some integer value of $n$ such that
$$180n-360=9000~~?$$