document.write( "Question 153131: if the sum of the measures of the interior angles of a regular polygon is 540. how many sides does it have? \n" ); document.write( "
Algebra.Com's Answer #112634 by orca(409)\"\" \"About 
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The sum of the measures of the interior angles of a regular polygon is:
\n" ); document.write( "180(n-2)
\n" ); document.write( "Setting it equal to 540, we have
\n" ); document.write( "180(n-2)=540
\n" ); document.write( "Solving for n, we obtain
\n" ); document.write( "180n-360=540
\n" ); document.write( "180n=900
\n" ); document.write( "n=5
\n" ); document.write( "So the polygon has 5 sides.
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