document.write( "Question 909322: find the measures of two supplementary angles if the measure of one is six less than five times the measure of the other angle \n" ); document.write( "
Algebra.Com's Answer #551812 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Supplementary angles add up to 180 degrees. \n" ); document.write( "Therefore A + B = 180 \n" ); document.write( "A = 5B-6 [six less than five times the measure of the other] \n" ); document.write( "Substitute the value of A from the bottom equation into the top. \n" ); document.write( "A + B = 180 \n" ); document.write( "(5B-6) + B = 180 \n" ); document.write( "6B - 6 = 180 \n" ); document.write( "6B = 174 \n" ); document.write( "B = 29 \n" ); document.write( "If the smaller angle is 29, then the larger angle is 180-29, or 151. \n" ); document.write( "151 = 5*29(145) + 6 \n" ); document.write( " |