document.write( "Question 848106: If the ratio of an interior angle to an exterior angle of a regular polygon is 5 to 1, how many sides does it have? \n" ); document.write( "
Algebra.Com's Answer #510881 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the ratio of an interior angle to an exterior angle of a regular polygon is 5 to 1, how many sides does it have? \n" ); document.write( "----- \n" ); document.write( "Each int/ext pair is supplementary. \n" ); document.write( "----- \n" ); document.write( "5 to 1 is the same as 5x to x \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "5x + x = 180 \n" ); document.write( "6x = 180 \n" ); document.write( "x = 30 degree (one exterio angle) \n" ); document.write( "----- \n" ); document.write( "Sum of the exterior angles is 360. \n" ); document.write( "# of sides = 360/30 = 12 \n" ); document.write( "------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |