Question 322535
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The sum of the interior angles of any convex polygon is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 180(n\ -\ 2)]


where *[tex \LARGE n] is the number of sides (or vertices, for that matter).


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 180(n\ -\ 2)\ =\ 1260]


and solve for *[tex \LARGE n] where *[tex \LARGE n\ \in\ \mathbb{Z}, n\ \geq\ 3]


If *[tex \LARGE n] is not an integer, the polygon does not exist.  Hint:  A hexagon has 6 sides, a heptagon has 7 sides, and a nonagon has 9 sides.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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