document.write( "Question 200873: Half the supplement of an angle is 12 degrees less than twice the complement of the angle. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #151121 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Half the supplement of an angle is 12 degrees less than twice the complement of the angle. \n" ); document.write( "Find the measure of the angle. \n" ); document.write( ": \n" ); document.write( "Let the angle be x: \n" ); document.write( ": \n" ); document.write( "Write a equation for the statement: \n" ); document.write( "\"Half the supplement of an angle is 12 degrees less than twice the complement of the angle.\" \n" ); document.write( " \n" ); document.write( "Multiply both sides by 2 to get rid of the fraction, results: \n" ); document.write( "180 - x = 4(90-x) - 24 \n" ); document.write( ": \n" ); document.write( "180 - x = 360 - 4x - 24 \n" ); document.write( "-x + 4x = 360 - 24 - 180 \n" ); document.write( "3x = 156 \n" ); document.write( "x = \n" ); document.write( "x = 52 degrees is the angle \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the original equation: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "64 = 76 - 12 \n" ); document.write( " |