Question 119780
Remember, the sum of the interior angles of any polygon is:{{{180(n-2)=S}}} where S is the sum and n is the number of sides



{{{180(n-2)=S}}} Start with the given equation



{{{180(n-2)=2340}}} Plug in S=2340




{{{180n-360=2340}}} Distribute



{{{180n=2340+360}}}Add 360 to both sides



{{{180n=2700}}} Combine like terms on the right side



{{{n=(2700)/(180)}}} Divide both sides by 180 to isolate n




{{{n=15}}} Divide


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Answer:

So our answer is {{{n=15}}} 



So this polygon has 15 sides.