document.write( "Question 484739: Four times the supplement of angle A exceeds 8 times the complement of angle A by 28. Find the measure of angle A. \n" ); document.write( "
Algebra.Com's Answer #331789 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Four times the supplement of angle A exceeds 8 times the complement of angle A by 28. \n" ); document.write( " Find the measure of angle A. \n" ); document.write( ": \n" ); document.write( "We know: \n" ); document.write( "(180-A) = the supplement of Angle A \n" ); document.write( "and \n" ); document.write( "(90-A) = the complement of Angle A \n" ); document.write( ": \n" ); document.write( "We can write the equation like this: \n" ); document.write( "4(180-A) - 8(90-A) = 28 \n" ); document.write( "720 - 4A - 720 + 8A = 28 \n" ); document.write( "therefore \n" ); document.write( "4A = 28 \n" ); document.write( "A = 28/4 \n" ); document.write( "A = 7 degrees \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that works: \n" ); document.write( "180-7 = 173 is the supplement \n" ); document.write( "90 - 7 = 83 is the complement \n" ); document.write( "\"Four times the supplement of angle A exceeds 8 times the complement of angle A by 28.\" \n" ); document.write( "4(173) - 8(83) = \n" ); document.write( "692 - 664 = 28!! \n" ); document.write( "\" \n" ); document.write( " |