Assuming 900 degrees refers to the sum of the interior angles,
the interior angles of a polygon with n sides sum to (n-2)*180 degrees
ie (n - 2)*180 = 900
so n - 2 = 5 or n = 7
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It will have 6 sides
10 sides
15
360/45 = 8 sides
It will have (2700+360)/180 = 17 sides