document.write( "Question 88590: I am trying to find the measure of an angle whose supplement is 4 times the measure of its complement. I am so confused. Please help me! \n" ); document.write( "
Algebra.Com's Answer #64414 by uma(370)![]() ![]() ![]() You can put this solution on YOUR website! Let the angle be x \n" ); document.write( "Its supplement = 180 - x\r \n" ); document.write( "\n" ); document.write( "Its complement = 90 - x\r \n" ); document.write( "\n" ); document.write( "As per the given data,\r \n" ); document.write( "\n" ); document.write( "4(90 - x) = 180 - x\r \n" ); document.write( "\n" ); document.write( "==> 360 - 4x = 180 - x\r \n" ); document.write( "\n" ); document.write( "==> 360 - 180 - 4x = -x\r \n" ); document.write( "\n" ); document.write( "==> 180 - 4x = - x\r \n" ); document.write( "\n" ); document.write( "==> 180 = 4x - x\r \n" ); document.write( "\n" ); document.write( "==> 180 = 3x\r \n" ); document.write( "\n" ); document.write( "==> 180/3 = x\r \n" ); document.write( "\n" ); document.write( "==> x = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus the angle is 60degrees whose supplement is 4 times the measure of its complement.\r \n" ); document.write( "\n" ); document.write( "Good Luck!!! \n" ); document.write( " |