document.write( "Question 1125389: <1 and <2 are supplementary angles m<1 is 5y+16 and m<2 is 10y +14 find m<2 \n" ); document.write( "

Algebra.Com's Answer #741708 by MathLover1(20849) $\"\"$ $\"About$

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two angles are supplementary when they add up to $\"180\"$ degrees
\n" ); document.write( " $\"m\"$ < $\"1\"$ + $\"m\"$ < $\"2\"$ = $\"180\"$ \r
\n" ); document.write( "\n" ); document.write( "since given $\"m\"$ < $\"1\"$ = $\"5y+%2B16\"$ and $\"m\"$ < $\"2\"$ = $\"10y+%2B14\"$ \r
\n" ); document.write( "\n" ); document.write( "we have:
\n" ); document.write( "
\n" ); document.write( " $\"5y%2B16+%2B10y+%2B14=180\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"15y%2B30=180\"$
\n" ); document.write( " $\"15y=180-30\"$
\n" ); document.write( " $\"15y=150\"$
\n" ); document.write( " $\"y=10\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if $\"m\"$ < $\"2\"$ = $\"10y+%2B14\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"2\"$ = $\"10%2A10+%2B14\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"2\"$ = $\"100+%2B14\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m\"$ < $\"2\"$ = $\"highlight%28114%29\"$ degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "first find
\n" ); document.write( " $\"m\"$ < $\"1\"$ = $\"5y+%2B16\"$
\n" ); document.write( " $\"m\"$ < $\"1\"$ = $\"50+%2B16\"$
\n" ); document.write( " $\"m\"$ < $\"1\"$ = $\"highlight%2866%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"114%2B66=180\"$
\n" ); document.write( " $\"180=180\"$ which confirms our solution\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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