A regular polygon cannot have internal angles smaller than 60 degrees.
If each EXTERNAL angle is 40 degrees, the triangle has 360/40 = 9 sides.
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If each exterior angle is 30 degrees the polygon has 360/30 = 12 sides.
Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.
18 sides
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
It will have 6 sides