document.write( "Question 529784: find the value of each angle if angle A is 18 more than twice its suppliment \n" ); document.write( "
Algebra.Com's Answer #349706 by swincher4391(1107) You can put this solution on YOUR website! By definition, a pair of supplementary angles are angles that add up to 180º. Remember that.\r \n" ); document.write( "\n" ); document.write( "So let's call our two angles A and B.\r \n" ); document.write( "\n" ); document.write( "Let A+B = 180\r \n" ); document.write( "\n" ); document.write( "And let A = 18+B ---> A-B = 18\r \n" ); document.write( "\n" ); document.write( "Then we have a system of equations.\r \n" ); document.write( "\n" ); document.write( "A+B = 180 \n" ); document.write( "A-B = 18 \r \n" ); document.write( "\n" ); document.write( "Notice if we added these two equations we would eliminate B. That's good.\r \n" ); document.write( "\n" ); document.write( "2A = 198\r \n" ); document.write( "\n" ); document.write( "A = 99\r \n" ); document.write( "\n" ); document.write( "Sub 99 back in for A. 99 + B = 180 Then B = 81.\r \n" ); document.write( "\n" ); document.write( "Our two angles are 99 and 81. \n" ); document.write( " |