document.write( "Question 306948: the measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure of the angle. Thank you so much! :D \n" ); document.write( "
Algebra.Com's Answer #219732 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! he measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure of the angle. \n" ); document.write( ": \n" ); document.write( "Let x = the unknown angle \n" ); document.write( "then we know: \n" ); document.write( "180 - x = the supplement \n" ); document.write( "and \n" ); document.write( "90 - x = the complement \n" ); document.write( ": \n" ); document.write( "Write an equation for the statement: \n" ); document.write( "The measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement.\" \n" ); document.write( "180 - x = 3(90-x) + 12 \n" ); document.write( "180 - x = 270 - 3x + 12 \n" ); document.write( "-x + 3x = 270 + 12 - 180 \n" ); document.write( "2x = 102 \n" ); document.write( "x = \n" ); document.write( "x = 51 degrees is the angle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that is true in the statement\" \n" ); document.write( "\"measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement.\" \n" ); document.write( "180 - 51 = 3(90-51) + 12 \n" ); document.write( "129 = 3(39) + 12 \n" ); document.write( "129 = 117 + 12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |