document.write( "Question 80207This question is from textbook beginning algebra
\n" ); document.write( ": two angles are complementary. one angle is 10degr. less than 9 times the other. find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #57545 by rmromero(383)\"\" \"About 
You can put this solution on YOUR website!

\n" );
document.write( "two angles are complementary. one angle is 10degr. less than 9 times the other. find the measure of each angle.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "What is asked in the problem?
\n" );
document.write( "    Find the measure of each angle.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Given:
\n" );
document.write( "   Two angles are complementary
\n" );
document.write( "   One angle is 10 degrees less than 9 times the other\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Representation:
\n" );
document.write( "    Let       x = the measure of the first angle.
\n" );
document.write( "        9x - 10 = the measure of the second angle.\r
\n" );
document.write( "\n" );
document.write( "Equation:
\n" );
document.write( " Note that if the two angles are complementary, the sum of the measures of the two angles is 90 degrees.
\n" );
document.write( "          x + 9x - 10 = 90
\n" );
document.write( "             10x - 10 = 90
\n" );
document.write( "                  10x = 90 + 10
\n" );
document.write( "                  10x = 100
\n" );
document.write( "                    x = 10 degrees , measure of the first angle\r
\n" );
document.write( "\n" );
document.write( "               9x - 10; x = 10
\n" );
document.write( "           9 (10) - 10
\n" );
document.write( "               90 - 10
\n" );
document.write( "                       80 degrees, measure of the second angle\r
\n" );
document.write( "\n" );
document.write( "CHecking: the sum of the two angles must be 90 degrees to justify that your answers were correct\r
\n" );
document.write( "\n" );
document.write( "       80 + 10 = 90
\n" );
document.write( "            90 = 90   -> true\r
\n" );
document.write( "\n" );
document.write( "          \n" );
document.write( "
\n" );