document.write( "Question 1045104: The measure of one of two complementary angles is 6 degrees less than one half the measure of the other. Find the measure of the smaller angle.\r
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Algebra.Com's Answer #660931 by jhunjiro(67)![]() ![]() You can put this solution on YOUR website! x - larger angle \n" ); document.write( "y - smaller angle\r \n" ); document.write( "\n" ); document.write( "complementary angle = 90 degrees\r \n" ); document.write( "\n" ); document.write( "x + y = 90 (1st equation)\r \n" ); document.write( "\n" ); document.write( "measure of one of two complementary angles means \"y\" \n" ); document.write( " is means \"equal\" \n" ); document.write( "6 degrees less than one half the measure of the other means \".5x-6\"\r \n" ); document.write( "\n" ); document.write( "y = .5x - 6 (2nd equation)\r \n" ); document.write( "\n" ); document.write( "Using substitution method:\r \n" ); document.write( "\n" ); document.write( "x + .5x - 6 = 90 \n" ); document.write( "1.5x = 96\r \n" ); document.write( "\n" ); document.write( "x = 64 degrees\r \n" ); document.write( "\n" ); document.write( "y = .5(64)-6\r \n" ); document.write( "\n" ); document.write( "y = 26 degrees (smaller angle)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |