document.write( "Question 739561: Angles A and B are complementary. If m < A is 5 times the value of m < B, find angle b \n" ); document.write( "
Algebra.Com's Answer #451206 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = measure of angle A\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y = measure of angle B\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"Angles A and B are complementary\" ---> x+y = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m < A is 5 times the value of m < B\" ---> x = 5y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x+y = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5y+y = 90 ... replace x with 5y (since x = 5y, they are the same)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "6y = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y = 90/6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y = 15\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 5y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 5*15\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 75\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Summary:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We found that x = 75 and y = 15\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The measure of angle A is 75 degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The measure of angle B is 15 degrees
\n" ); document.write( "
\n" ); document.write( "
\n" );