If Polygon $X$ has fewer than $9$ sides, how many sides does Polygon $X$ have?

If Polygon $X$ has fewer than $9$ sides, how many sides does Polygon $X$ have?

(1) The sum of the interior angles of Polygon $X$ is divisible by $16.$

(2) The sum of the interior angles of Polygon $X$ is divisible by $15.$

Answer: A

Source: Manhattan GMAT

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