document.write( "Question 463043: The angles that are suuplementary differ 27 degrees. find the smaller of the two. \n" ); document.write( "
Algebra.Com's Answer #317311 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The angles that are suuplementary differ 27 degrees. find the smaller of the two.\"\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 = other angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 - x - x = 27 {the two angles differ by 27} \n" ); document.write( "180 - 2x = 27 {combined like terms} \n" ); document.write( "-2x = -153 {subtracted 180 from both sides} \n" ); document.write( "x = 76.5 {divided both sides by -2} \n" ); document.write( "180 - x = 103.5 {substituted 76.5, in for x, into 180 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the smaller angle is 76.5° \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |