document.write( "Question 209050: Question: The measure of each interior angel of a regular polygon is eleven times that of an exterior angel. How many sides does the polygon have? \n" ); document.write( "
Algebra.Com's Answer #158020 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The measure of each interior angle of a regular polygon is eleven times that of an exterior angle. How many sides does the polygon have? \n" ); document.write( "------------------ \n" ); document.write( "ext + int = 180 \n" ); document.write( "11x + x = 180 \n" ); document.write( "12x = 180 \n" ); document.write( "x = 15 degrees (exterior angle measure) \n" ); document.write( "============================================ \n" ); document.write( "The sum of the exterior angles = 360 degrees \n" ); document.write( "# of exterior angles = 360/15 = 24 \n" ); document.write( "Therefore the number of sides is 24. \n" ); document.write( "============================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "Reply to stanbon@comcast.net \n" ); document.write( " \n" ); document.write( " |