document.write( "Question 96982: The measures of an angle and its complement differ by 22 degrees. Find the measures of the angles. \n" ); document.write( "
| Algebra.Com's Answer #70608 by mathslover(157)     You can put this solution on YOUR website! Let the measures of the angles be x and y\r \n" ); document.write( "\n" ); document.write( "Since sum of complementary angles is 90 degrees\r \n" ); document.write( "\n" ); document.write( "x + y = 90 .....(1)\r \n" ); document.write( "\n" ); document.write( "also given \r \n" ); document.write( "\n" ); document.write( "x - y = 22 ......(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adding equations 1 and 2\r \n" ); document.write( "\n" ); document.write( "we have 2x=112 \n" ); document.write( "or x=56 \n" ); document.write( "therefore y = 90 - 56 =34\r \n" ); document.write( "\n" ); document.write( "angles are 56 and 34 \n" ); document.write( " |