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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " \n" ); document.write( " |