document.write( "Question 1185428: the measure of an angles supplement is 44 less than the measure of the angle. Find the measure of the angle and it’s supplement.
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Algebra.Com's Answer #816246 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "the measure of an angles supplement is 44 less than the measure of the angle. \n" ); document.write( "Find the measure of the angle and it’s supplement. \n" ); document.write( "~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the measure of the angle; then the supplementary angle is (180-x) degrees,\r\n" ); document.write( "\r\n" ); document.write( "and the problem gives us this equation to find x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x - (180-x) = 44 degrees.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2x = 44 + 180 = 224\r\n" ); document.write( "\r\n" ); document.write( " x = 224/2 = 112.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The measure of the angle is 112 degrees; the measure of its supplement is 180 - 112 = 68.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. The difference of the measures is 112 - 68 = 44 degrees. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |