document.write( "Question 828524: a and b are regular polygons and a has 2 more sides than B. The measure of each interior angle of A is 6 greater than the measure of each interior angle of B. How many sides does A have? \n" ); document.write( "
Algebra.Com's Answer #499387 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! a and b are regular polygons and a has 2 more sides than B. The measure of each interior angle of A is 6 greater than the measure of each interior angle of B. How many sides does A have? \n" ); document.write( "------------- \n" ); document.write( "The Exterior angles differ by 6. \n" ); document.write( "a = b + 2 \n" ); document.write( "---- \n" ); document.write( "360/b = 360/(b+2) + 6 \n" ); document.write( "360/b = (360 + 6b + 12)/(b+2) \n" ); document.write( "360*(b+2) = b*(6b + 372) \n" ); document.write( "360b + 720 = 6b^2 + 372b \n" ); document.write( "b^2 + 2b - 120 = 0 \n" ); document.write( "b = 10 \n" ); document.write( "----- \n" ); document.write( "a = 12 \n" ); document.write( " \n" ); document.write( " |