document.write( "Question 657462: the sum of the measures of two supplementary angles exceeds the difference of their measures by 116 degrees. fine the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #409878 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the sum of the measures of two supplementary angles exceeds the difference of their measures by 116 degrees. find the measure of each angle. \n" ); document.write( "----- \n" ); document.write( "Eqution: \n" ); document.write( "x + y = 180 \n" ); document.write( "x+y = (x-y) + 116 \n" ); document.write( "====================== \n" ); document.write( "x = 180-y \n" ); document.write( "--- \n" ); document.write( "Substitute and solve for \"y\": \n" ); document.write( "180 = (180-y-y) + 116 \n" ); document.write( "-2y = -116 \n" ); document.write( "y = 58 degrees \n" ); document.write( "---- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x + 58 = 180 \n" ); document.write( "x = 122 degrees \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |