document.write( "Question 906144: An angle is 20 degrees less than its complement.Find its measure \n" ); document.write( "
Algebra.Com's Answer #549645 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! x = given angle \n" ); document.write( "y = complement\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x and y are complementary angles, so, x+y = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 90 - x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"An angle is 20 degrees less than its complement\" which means x = y - 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = y - 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (90-x) - 20 ... plug in y = 90-x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 90-x-20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -x+70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+x = 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 70/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The angle is 35 degrees (the complement is 90-35 = 55 degrees) \n" ); document.write( " |