Well, darling, the angle sum of a polygon with 9 sides is 1260 degrees. Each interior angle of a regular nonagon measures 140 degrees. So, if you add up all those interior angles, you get 1260 degrees. Math doesn't have to be a drag, honey!
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All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees
A regular polygon with an exterior angle of40O is a nonagon, and has 9 sides.
Providing that it is a regular polygon then it is a nonagon which has 9 sides
9
The internal angles of a regular nonagon (a polygon having 9 sides) are obtuse angles of 140o.