That regular polygon would have 9 sides.
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The number of sides of a regular polygon is 360 divided by the size of the exterior angle. The external angle is 180 - the internal angle. So for a regular polygon with an internal angle of 135 we get the following. 360 / (180 - 135) = 360 / 45 = 8 sides
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
The polygon has 16 sides :)