document.write( "Question 994429: If the measure of an angle is twenty less than the measure of its complement, what is the measure of the angle? \n" ); document.write( "
Algebra.Com's Answer #613507 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Let x be the measure of the given angle in degrees.\r \n" ); document.write( "\n" ); document.write( "Then the measure of its complement is x+20 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum of an angle and its complement is always 90°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you have an equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + (x + 20) = 90°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 90 - 20 = 70°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 35°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. 35°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |