Question 284065
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The measure of an interior angle of a regular convex polygon can be determined by the following formula:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{(n\ -\ 2)180}{n}\ =\ IA]


Doing a little algebra:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 180n\ -\ 360\ =\ IAn]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 180n\ -\ IAn\ =\ 360]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ n\ =\ \frac{360}{180\ -\ IA}]


You were given an IA of 144 degrees, so do the math ... so to speak.


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