document.write( "Question 832635: If two supplementary angles are in the ratio of 5:4, what is the measure of the larger angle? PLEASE show me how to do this as well. \n" ); document.write( "

Algebra.Com's Answer #502118 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the angles be $\"+x+\"$ and $\"+180+-+x+\"$
\n" ); document.write( "Now I can say:
\n" ); document.write( " $\"+5%2F4+=+x%2F%28+180-x+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+4%2A%28+180-x+%29+\"$
\n" ); document.write( " $\"+5%2A%28+180-x+%29+=+4x+\"$
\n" ); document.write( " $\"+900+-+5x+=+4x+\"$
\n" ); document.write( "Add $\"+5x+\"$ to both sides
\n" ); document.write( " $\"+9x+=+900+\"$
\n" ); document.write( " $\"+x+=+100+\"$
\n" ); document.write( "and, also
\n" ); document.write( " $\"+180+-+x+=+180+-+100+\"$
\n" ); document.write( " $\"+180+-+x+=+80+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "The larger angle is 100 degrees
\n" ); document.write( "check:
\n" ); document.write( " $\"+5%2F4+=+x%2F%28+180-x+%29+\"$
\n" ); document.write( " $\"+5%2F4+=+100%2F%28+180-100+%29+\"$
\n" ); document.write( " $\"+5%2F4+=+100%2F80+\"$
\n" ); document.write( " $\"+5%2F4+=+10%2F8+\"$
\n" ); document.write( " $\"+5%2F4+=+5%2F4+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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