document.write( "Question 490177: Please help me solve this equation due tomorrow! Thanks.\r
\n" );
document.write( "\n" );
document.write( "The supplement of an angle is 36 degrees less than twice the supplement of the complement of the angle. Find the measure of the supplement. \n" );
document.write( "
Algebra.Com's Answer #333887 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the angle be A, then its supplement is (180-A) and its complement is (90-A). \n" ); document.write( "180-A = (180-2(90-A))-36 Simplify. \n" ); document.write( "180-A = 180-180+2A-36 \n" ); document.write( "180-A = 2A-36 Add A to both sides. \n" ); document.write( "180 = 3A-36 Add 36 to both sides. \n" ); document.write( "216 = 3A Finally, divide both sides by 3. \n" ); document.write( "72 = A \n" ); document.write( "The supplement of A is 180-A \n" ); document.write( "180-72 = 108 degrees. \n" ); document.write( " |