document.write( "Question 135355: If the complement of an angle is 5 degree less than one-sixth of its supplement, find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #99165 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the complement of an angle is 5 degree less than one-sixth of its supplement, find the measure of the angle. \n" ); document.write( "------------------------------- \n" ); document.write( "Let the angle be \"x\"; then the complement is \"90-x\"; the supplement is \"180-x\" \n" ); document.write( "-------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "90-x = (1/6)(180-x)-5 \n" ); document.write( "90-x = 30-(x/6) -5 \n" ); document.write( "65-x =-(x/6) \n" ); document.write( "(5/6)x = 65 \n" ); document.write( "x = 65(6/5)= 78 degrees \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |