document.write( "Question 508930: The supplement of an angle is 26 more than five times its complement. what is the measure of your angle? \n" ); document.write( "
Algebra.Com's Answer #341176 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! A = the angle \n" ); document.write( "C = its complement \n" ); document.write( "C = 90-A \n" ); document.write( "S = its supplement \n" ); document.write( "S = 180-A \n" ); document.write( ". \n" ); document.write( "S = 5*C + 26 \n" ); document.write( ". \n" ); document.write( "S = S \n" ); document.write( "so \n" ); document.write( "180-A = 5*C+26 \n" ); document.write( ". \n" ); document.write( "substitute C = 90-A \n" ); document.write( ". \n" ); document.write( "180-A = 5(90-A) + 26 \n" ); document.write( ". \n" ); document.write( "180-A = 450 -5A + 26 \n" ); document.write( ". \n" ); document.write( "180-A = 476 -5A \n" ); document.write( ". \n" ); document.write( "4A = 296 \n" ); document.write( ". \n" ); document.write( "A = 74 \n" ); document.write( ". \n" ); document.write( "C = 90-74 = 16 \n" ); document.write( ". \n" ); document.write( "S = 180-74 = 106 \n" ); document.write( ". \n" ); document.write( "Check to see if this solution is the answer. \n" ); document.write( ". \n" ); document.write( "5C + 26 = 5(16) + 26 = 106 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: The angle is 74 degrees. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |