document.write( "Question 773409: What is the measure of an angle that is 12 degrees less than three times its supplement? \n" ); document.write( "

Algebra.Com's Answer #471529 by MathLover1(20849) $\"\"$ $\"About$

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Supplementary angles are pairs of angles that add up to $\"180\"$ degrees.\r
\n" ); document.write( "\n" ); document.write( "let one angle be $\"alpha\"$ and its supplementary angle $\"beta\"$ \r
\n" ); document.write( "\n" ); document.write( " if $\"alpha\"$ is $\"12\"$ degrees less than three times its supplement $\"beta\"$ , then we have $\"alpha=3beta-12\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"alpha%2Bbeta=180\"$ .....substitute $\"alpha=3beta-12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3beta-12%2Bbeta=180\"$ .......solve for $\"beta\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4beta=180%2B12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4beta=192\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"beta=192%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"beta=48\"$ \r
\n" ); document.write( "\n" ); document.write( "then $\"alpha=3beta-12\"$ => $\"alpha=3%2A48-12\"$ => $\"alpha=132\"$ \r
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