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
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #660931 by jhunjiro(67)\"\" \"About 
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( "
\n" );