Use the fact that the sum of the exterior angles is 360, so we need some natural number n, such that 360/n=45. or 45n=360 so n=8 and the polygon must be a regular octagon.
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Providing that it's a regular polygon then each exterior angle will measure 12 degrees.
The sum of all exterior angles of a polygon is 360 degrees. In a regular polygon, all of the exterior angle are equal, so there must be 360/72=5 sides of the polygon, which makes it a pentagon.
Pentagon A+
A regular polygon that has an exterior angle of 60 degrees = 360/60 = 6 sides and it is an hexagon
If those are exterior angles, the exterior angles of any polygon add up to 360. That would be 20 sides.