document.write( "Question 495405: if m\n" ); document.write( "

Algebra.Com's Answer #336088 by MathLover1(20850) $\"\"$ $\"About$

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if m of angle $\"JNP=3x-15\"$ and m of angle $\"JNL=5x%2B59\"$ find the value of $\"x\"$ so that angle $\"JNP\"$ and angle $\"JNL\"$ are $\"supplements\"$ of each other\r
\n" ); document.write( "\n" ); document.write( "by definition, $\"supplementary\"$ angles add up to $\"180\"$ °\r
\n" ); document.write( "\n" ); document.write( " angles $\"JNP%2BJNL=180\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%283x-15%29%2B%285x%2B59%29=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3x-15%2B5x%2B59=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8x%2B44=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8x=180-44\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8x=136\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=136%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=17%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, m of angle $\"JNP=3x-15\"$ ..->.. $\"JNP=3%2A17-15\"$ ..->.. $\"JNP=36\"$ \r
\n" ); document.write( "\n" ); document.write( "and m of angle $\"JNL=5x%2B59\"$ ..->.. $\"JNL=5%2A17%2B59\"$ ..->.. $\"JNL=144\"$ \r
\n" ); document.write( "\n" ); document.write( "check if they are supplementary:\r
\n" ); document.write( "\n" ); document.write( " $\"JNP%2BJNL=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"36%2B144=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"180=180\"$ \r
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