Question 1173719
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<pre>

For any convex polygon with n sides, the sum of interior angles is  180*(n-2)  degrees.


Since in your case this sum is  3600°, it gives you this equation


    180*(n-2) = 3600.


Divide it by 180 (both sides) to get


    n-2 = 3600/180 = 20;  

     n  = 20 + 2 = 22.


So, your polygon has 22 sides.    <U>ANSWER</U>
</pre>

Solved.