document.write( "Question 162875This question is from textbook mathemathical ideas
\n" ); document.write( ": Trouble setting this up.
\n" ); document.write( " Half the supplement of the angle is 12 degrees less than twice the complement of the angle. Find the measure of the angle.
\n" ); document.write( "Thank You in advance for your help.
\n" ); document.write( "George \n" ); document.write( "

Algebra.Com's Answer #120047 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the angle you want to find = A.
\n" ); document.write( "The supplement of angle A is $\"%28180-A%29\"$ .
\n" ); document.write( "Half the supplement of angle A is $\"%281%2F2%29%28180-A%29\"$
\n" ); document.write( "The complement of angle A is $\"%2890-A%29\"$ .
\n" ); document.write( "Twice the complement of angle A is $\"2%2890-A%29\"$ and 12 degrees less than that is $\"2%2890-A%29-12\"$ .
\n" ); document.write( "Now let's put it all together as described in the problem statement!
\n" ); document.write( " $\"%281%2F2%29%28180-A%29+=+2%2890-A%29-12\"$ Now we can solve for the unknown angle A. First, multiply both sides of this equation by 2 to clear the fraction.
\n" ); document.write( " $\"%28180-A%29+=+4%2890-A%29-24\"$ Expand (distributive property) the right-hand side.
\n" ); document.write( " $\"180-A+=+360-4A-24\"$ Simplify.
\n" ); document.write( " $\"180-A+=+336-4A\"$ Add A to both sides.
\n" ); document.write( " $\"180+=+336-3A\"$ Subtract 336 from both sides.
\n" ); document.write( " $\"-156+=+-3A\"$ Finally, divide both sides by -3.
\n" ); document.write( " $\"52+=+A\"$
\n" ); document.write( "The measure of the angle A is 52 degrees. \n" ); document.write( "

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