document.write( "Question 464229: Supplementary angles. Two angles are supplementary.If one angle measures 45° less than twice the measure of its supplement, find the measure of each angle.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #317999 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"Supplementary angles. Two angles are supplementary.If one angle measures 45° less than twice the measure of its supplement, find the measure of each angle.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Supplementary angles add up to 180°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = one angle \n" ); document.write( "180 - x = its supplement {supplementary angles add up to 180}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2(180 - x) - 45 {one angle is 45 less than twice its supplement} \n" ); document.write( "x = 360 - 2x - 45 {used distributive property} \n" ); document.write( "x = -2x + 315 {combined like terms on right} \n" ); document.write( "3x = 315 {added 2x to both sides} \n" ); document.write( "x = 105 {divided both sides by 3} \n" ); document.write( "180 - x = 75 {substituted 105, in for x, into 180 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "105° and 75° are the two angles \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |