document.write( "Question 809054: Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measures of the angles. \n" ); document.write( "

Algebra.Com's Answer #487368 by Okeke_Christian(26) $\"\"$ $\"About$

You can put this solution on YOUR website!
If the two angles are supplementary, it means they add up to 180 degrees.\r
\n" ); document.write( "\n" ); document.write( "Let's call them x and y.
\n" ); document.write( "If x is 4deg less than 3y, then;\r
\n" ); document.write( "\n" ); document.write( " $\"x=3y-4\"$ -------------- eqn(1)\r
\n" ); document.write( "\n" ); document.write( "Remember,
\n" ); document.write( " $\"x%2By+=+180\"$ --------------- eqn(2)\r
\n" ); document.write( "\n" ); document.write( "Substitute (3y-4) for x in eqn. 2
\n" ); document.write( " $\"%283y-4%29%2By+=+180\"$ \r
\n" ); document.write( "\n" ); document.write( "Open brackets:
\n" ); document.write( " $\"3y-4%2By+=+180\"$ \r
\n" ); document.write( "\n" ); document.write( "Collect like terms:
\n" ); document.write( " $\"3y%2By=180%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4y=184\"$ \r
\n" ); document.write( "\n" ); document.write( "Divide both sides by 4, the co-efficient of y:\r
\n" ); document.write( "\n" ); document.write( " $\"y=+46\"$ \r
\n" ); document.write( "\n" ); document.write( "But,
\n" ); document.write( " $\"x=3y-4\"$ ------------ eqn(1)\r
\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( " $\"x=3%2846%29-4\"$
\n" ); document.write( " $\"x=+134\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( " $\"x=+134%3B+y=+46\"$ \r
\n" ); document.write( "\n" ); document.write( "[CHECK]
\n" ); document.write( " $\"x%2By=180\"$
\n" ); document.write( " $\"134%2B46=180\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read through and ask questions if you do not fully comprehend the solution. Good luck! \n" ); document.write( "

\n" );