document.write( "Question 294282: the complement of a angle measures 10 degrees less than one fifth of its supplement. Find the measure of the angle \n" ); document.write( "
Algebra.Com's Answer #212260 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! the complement of a angle measures 10 degrees less than one fifth of its supplement. Find the measure of the angle \r \n" ); document.write( "\n" ); document.write( "Let x be the angle. Its complement then is 90-x and its supplement is 180-x. Then we have:\r \n" ); document.write( "\n" ); document.write( "90-x = (1/5)*(180-x) - 10 \n" ); document.write( "90-x = 36 - x/5 - 10 \n" ); document.write( "90-x = 26 - x/5 \n" ); document.write( "x-x/5 = 64 \n" ); document.write( "(4/5)*x = 64 \n" ); document.write( "x = (5/4)*64 \n" ); document.write( "x = 80\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |