document.write( "Question 647477: Let \n" ); document.write( "
Algebra.Com's Answer #406231 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "Let < \"A\" and < \"B\" be \"supplementary\" angles, and \r
\n" ); document.write( "\n" ); document.write( "let m < \"A+=+%28x+%2B+12%29\"° and m < \"B+=+%283x+%2B+20%29\"°. \r
\n" ); document.write( "\n" ); document.write( "What is the value of \"x\"? \r
\n" ); document.write( "\n" ); document.write( "What are the measures of the angles?
\n" ); document.write( "__________________________________\r
\n" ); document.write( "\n" ); document.write( "Supplementary Angles add up to \"180\"°.\r
\n" ); document.write( "\n" ); document.write( "So, \"A%2BB=180\"............1\r
\n" ); document.write( "\n" ); document.write( "m < \"A+=+%28x+%2B+12%29\" and m < \"B+=+%283x+%2B+20%29\"°...plug it in 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+%2B+12%2B3x+%2B+20=180\"............1\r
\n" ); document.write( "\n" ); document.write( "\"4x+%2B+32=180\"\r
\n" ); document.write( "\n" ); document.write( "\"4x=180-32\"\r
\n" ); document.write( "\n" ); document.write( "\"4x=148\"\r
\n" ); document.write( "\n" ); document.write( "\"x=148%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=37\"........the value of \"x\"\r
\n" ); document.write( "\n" ); document.write( "the measures of the angles:\r
\n" ); document.write( "\n" ); document.write( "m < \"A+=+%28x+%2B+12%29\"\r
\n" ); document.write( "\n" ); document.write( "m < \"A+=+%2837%2B+12%29\"\r
\n" ); document.write( "\n" ); document.write( "m < \"A+=+49\"°\r
\n" ); document.write( "\n" ); document.write( "m < \"B+=+%283x+%2B+20%29\"°\r
\n" ); document.write( "\n" ); document.write( "m < \"B+=+%283%2A37+%2B+20%29\"°\r
\n" ); document.write( "\n" ); document.write( "m < \"B+=+%28111+%2B+20%29\"°\r
\n" ); document.write( "\n" ); document.write( "m < \"B+=+131\"°\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );