document.write( "Question 125540: The measure of the supplement of an angle is 4 times the measure of its complement. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #92148 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! : \n" ); document.write( "Let x = the angle \n" ); document.write( ": \n" ); document.write( "The supplement: (180-x) \n" ); document.write( "The complement: (90-x) \n" ); document.write( ": \n" ); document.write( "write what it says: \n" ); document.write( "\"The measure of the supplement of an angle is 4 times the measure of its complement.\" \n" ); document.write( "(180-x) = 4(90-x) \n" ); document.write( ": \n" ); document.write( "180 - x = 360 - 4x \n" ); document.write( ": \n" ); document.write( "-x +4x = 360 - 180 \n" ); document.write( ": \n" ); document.write( "3x = 180 \n" ); document.write( "x = \n" ); document.write( "x = 60 is the angle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the original equation: \n" ); document.write( "(180-60) = 4(90-60) \n" ); document.write( " 120 = 4(30); confirms our solution\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |