document.write( "Question 361009: Find an angle whose supplement is 54 degrees greater in measure than three times its complement. \n" ); document.write( "
Algebra.Com's Answer #257592 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! Find an angle whose supplement is 54 degrees greater in measure than three times its complement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let angle = A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then its supplement = 180 - A, and its complement = 90 - A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, since its supplement is 54 degrees greater than three times its complement, then:\r \n" ); document.write( "\n" ); document.write( "180 - A = 3(90 - A) + 54\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 - A = 270 - 3A + 54 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- A + 3A = 270 + 54 - 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2A = 144\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = |