document.write( "Question 312778: The measure of an angle is 20 less than 3 times its supplement. Find the measure of the angle. \n" ); document.write( "

Algebra.Com's Answer #223656 by rapaljer(4671) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x = the angle
\n" ); document.write( "90 - x = the complement
\n" ); document.write( "180 - x= the supplement\r
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\n" ); document.write( "\n" ); document.write( "x= 3(180 - x)-20\r
\n" ); document.write( "\n" ); document.write( "x = 540 - 3x-20\r
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\n" ); document.write( "\n" ); document.write( "Add + 3x to each side:
\n" ); document.write( "4x = 520
\n" ); document.write( "x= 130 degrees = the angle
\n" ); document.write( "180 - x= 180 - 130 = 50 degrees = supplement.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "The angle is 20 degees less than 3 times the supplement
\n" ); document.write( "130 = 150 - 20\r
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\n" ); document.write( "\n" ); document.write( "It checks!!! \r
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\n" ); document.write( "\n" ); document.write( "By the way, it's always good to check these problems, because the first time I worked this I missed it!! I found the error after I checked it.\r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "

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