document.write( "Question 561586: Find the number of sides of a regular polygon if the measure of each interior angle is 17 times the measure of each exterior angle. \n" ); document.write( "
Algebra.Com's Answer #364304 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the number of sides of a regular polygon if the measure of each interior angle is 17 times the measure of each exterior angle. \n" ); document.write( "------ \n" ); document.write( "interior angle: 17x \n" ); document.write( "exterior angle: x \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "x + 17x = 180 \n" ); document.write( "18x = 180 \n" ); document.write( "x = 10 degrees \n" ); document.write( "---- \n" ); document.write( "Sum of ALL the exterior angles is 360 degrees \n" ); document.write( "---- \n" ); document.write( "# of exterior angles = 360/10 = 36 \n" ); document.write( "--- \n" ); document.write( "# of sides = # of exterior angles = 36 \n" ); document.write( "======================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |