document.write( "Question 661933: (3x-2), (2x+3), and (x+8) equal 180 degrees in a triangle. What is x? \n" ); document.write( "

Algebra.Com's Answer #411841 by MathLover1(20849) $\"\"$ $\"About$

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given:\r
\n" ); document.write( "\n" ); document.write( " $\"alpha=%283x-2%29\"$ , $\"beta=%282x%2B3%29\"$ , and $\"gamma=%28x%2B8%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%283x-2%29%2B%282x%2B3%29%2B%28x%2B8%29=180+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"3x-2%2B2x%2B3%2Bx%2B8=180+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"6x%2B9=180+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6x=180+-9\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"6x=171\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=171%2F6\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=28.5%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"alpha=3x-2\"$ , \r
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\n" ); document.write( "\n" ); document.write( " $\"alpha=3%2A28.5-2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"alpha=85.5-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"alpha=83.5\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"beta=2x%2B3\"$ , \r
\n" ); document.write( "\n" ); document.write( " $\"beta=2%2A28.5%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"beta=57%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"beta=60\"$ \r
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\n" ); document.write( "\n" ); document.write( "and \r
\n" ); document.write( "\n" ); document.write( " $\"gamma=x%2B8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"gamma=28.5%2B8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"gamma=36.5\"$ \r
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\n" ); document.write( "\n" ); document.write( "check:\r
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\n" ); document.write( "\n" ); document.write( " $\"alpha%2Bbeta%2Bgamma=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"83.5%2B60%2B36.5=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"180=180\"$ \r
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