document.write( "Question 162951: Hi,
\n" ); document.write( "I'm trying to figure out how to set up this problem:\r
\n" ); document.write( "\n" ); document.write( "Find the measure of an angle such that the difference between the measure of
\n" ); document.write( "its supplement and 5 times the measure of the complement is 10 degrees.\r
\n" ); document.write( "\n" ); document.write( "This question is on a worksheet that my professor gave us for homework.\r
\n" ); document.write( "\n" ); document.write( "I tried setting it up like this:\r
\n" ); document.write( "\n" ); document.write( "(180-x) = 5(90-x) - 10 \r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Joan
\n" ); document.write( "

Algebra.Com's Answer #120077 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Read the problem statement carefully:
\n" ); document.write( "Let the angle be x:
\n" ); document.write( "\"...the difference between the measure of its supplement (180-x) and 5 times its complement (-5(90-x)) is (=) 10 degrees\", so...
\n" ); document.write( "(180-x)-5(90-x) = 10 Simplify.
\n" ); document.write( "180-x-450+5x = 10 Combine like-terms.
\n" ); document.write( "-270+4x = 10 Add 270 to both sides.
\n" ); document.write( "4x = 280 Divide both sides by 4.
\n" ); document.write( "x = 70 degrees.
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