document.write( "Question 1035707: if an angle is 30 degree more than one half of its complement, find the measure of the angle? \n" ); document.write( "
Algebra.Com's Answer #650370 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x is the angle. \n" ); document.write( "90 - x is its complement. \n" ); document.write( "if the angle is 30 degree more than one half of its complement, then ..... \n" ); document.write( "x = 1/2 * (90 - x) + 30 \n" ); document.write( "simplify this to get x = 45 - 1/2 * x + 30 \n" ); document.write( "simplify further to get x = 75 - 1/2 * x \n" ); document.write( "add 1/2 * x to both sides of this equation to get x + 1/2 * x = 75 \n" ); document.write( "simplify to get 1.5 * x = 75. \n" ); document.write( "solve for x to get x = 75 / 1.5 = 50.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle is 50 degrees. \n" ); document.write( "its complement is 90 - 50 = 40 degrees. \n" ); document.write( "the angle is 30 degrees more than half its complement. \n" ); document.write( "half its complement is 20. \n" ); document.write( "20 + 30 = 50 \n" ); document.write( "solution looks good.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |