A nonagon
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Its 9 because 360 divided by 40 = 9
Providing that it is a regular polygon then it is a nonagon which has 9 sides
If this 9 sided polygon is a regular polygon, then the sum of its angles is:(n - 2)180 degrees = (9 - 2)180 degrees = 7 x 180 degrees = 1,260 degrees.
Obtuse angles.
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.