Question 1122224
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The sum of all interior angles of an n-sided polygon is  180°*(n-2).



The table below represents the sums of all interior angles of n-sided polygons for 3 <= n <= 16.


    Table


n     Sum of all interior angles
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3	180
4	360
5	540
6	720
7	900
8	1080
9	1260
10	1440
11	1620
12	1800
13	1980
14	2160
15	2340
16	2520


From the table, you easily can conclude that your polygon must have n > 14 and n <= 15 sides.   

    (It is so because the missed interior angle of a convex polygon is less than 180°).


Hence, n = 15.
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