document.write( "Question 1133673: Two angles are complementary if the sum of their measures is 90°. Find two complementary angles such that one of the angles is 142° less than 3 times the other angle. (Round to two decimal places if necessary.)\r
\n" );
document.write( "\n" );
document.write( "_____ the smaller complementary angle?\r
\n" );
document.write( "\n" );
document.write( "---- the larger complementary angle? \n" );
document.write( "
Algebra.Com's Answer #750954 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two angles are complementary if the sum of their measures is 90°. \n" ); document.write( " Find two complementary angles such that one of the angles is 142° less than 3 times the other angle. \n" ); document.write( "A + B = 90 \n" ); document.write( "and \n" ); document.write( "A = 3B - 142 \n" ); document.write( "A - 3B = -142 \n" ); document.write( ": \n" ); document.write( "Use elimination on the following two equations \n" ); document.write( "A + B = 90 \n" ); document.write( "A - 3B = -142 \n" ); document.write( "-----------------Subtraction eliminates A, find B \n" ); document.write( "0 + 4B = 232 \n" ); document.write( "B = 232/4 \n" ); document.write( "B = 58 degrees \n" ); document.write( "and \n" ); document.write( "90 - 58 = 32 degrees\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "__32___ the smaller complementary angle? \n" ); document.write( "__58___ the larger complementary angle? \n" ); document.write( " |