document.write( "Question 177873: If the complement of an angle is 5degrees less than one-sixth of its supplement. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #132845 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the complement of an angle is 5degrees less than one-sixth of its supplement. Find the measure of the angle. \n" ); document.write( "-------------------------------------- \n" ); document.write( "Let the angle be \"x\". \n" ); document.write( "Its complement = \"90-x\" \n" ); document.write( "Its supplement = \"180-x\" \n" ); document.write( "---------------------------- \n" ); document.write( "Equation: \n" ); document.write( "90-x = (1/6)(180-x)-5\r \n" ); document.write( "\n" ); document.write( "90-x = 30 - x/6 - 5\r \n" ); document.write( "\n" ); document.write( "90 - x = 25 - x/6\r \n" ); document.write( "\n" ); document.write( "65 = (5/6)x\r \n" ); document.write( "\n" ); document.write( "x = (6/5)*65\r \n" ); document.write( "\n" ); document.write( "x = 6*13\r \n" ); document.write( "\n" ); document.write( "x = 78 Degrees (measure of the angle) \n" ); document.write( "=========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |