document.write( "Question 587640: Each interior angle of a regular is 120 more than each of the exterior angles. How many sides has it? \n" ); document.write( "
Algebra.Com's Answer #374199 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Each interior angle of a regular is 120 more than each of the exterior angles. How many sides has it? \n" ); document.write( "--------------------- \n" ); document.write( "Let each exterior angle be \"x\": \n" ); document.write( "Then each interior angle is \"x+120\": \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "x + x+120 = 180 \n" ); document.write( "2x = 60 \n" ); document.write( "x = 30 degrees \n" ); document.write( "----- \n" ); document.write( "Fact: The sum of all of the exterior angles is 360. \n" ); document.write( "------ \n" ); document.write( "# of ext. angles is 360/30 = 12 \n" ); document.write( "--- \n" ); document.write( "Therefore # of sides is 12 \n" ); document.write( "------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |