document.write( "Question 949947: The supplement of an angle is 10 degrees less than 3 times its compliment. Find the ratio of supplement to its compliment. \n" ); document.write( "
Algebra.Com's Answer #579989 by addingup(3677)![]() ![]() You can put this solution on YOUR website! I don't know what you mean by compliment. Angles are either COMPLEMENTARY or SUPPLEMENTARY.\r \n" ); document.write( "\n" ); document.write( "Supplementary angles are those that add up to 180 degrees. \n" ); document.write( "Let's call one angle x, and the problem says the supplement is 3(x - 10):\r \n" ); document.write( "\n" ); document.write( "x + 3(x - 10) = 180 Simplify \n" ); document.write( "x + 3x - 30 = 180 Add x's on left. Also add 30, both sides. \n" ); document.write( "4x = 210 \n" ); document.write( "x = 210/4 \n" ); document.write( "x = 52 1/2 degrees. And the other is 3(52.5-10)= 127 1/2 degrees \n" ); document.write( " |