document.write( "Question 83462This question is from textbook
\n" ); document.write( ": If one-half of the complement of an angle plus three-fourths of the summplement of the angle equals 110 degrees, find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #59969 by Earlsdon(6294)\"\" \"About 
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Let the measure of the required angle be x.
\n" ); document.write( "One half the complement of x is \"%281%2F2%29%2890-x%29\" and three fourths of the supplement of x is\"%283%2F4%29%28180-x%29\" The sum of thease is 110 degrees, so...
\n" ); document.write( "\"%281%2F2%29%2890-x%29%2B%283%2F4%29%28180-x%29+=+110\" Simplify and solve for x. Multiply through by 4 to clear the fractions.
\n" ); document.write( "\"2%2890-x%29%2B3%28180-x%29+=+4%28110%29\" Expand.
\n" ); document.write( "\"180-2x%2B540-3x+=+440\" Combine like-terms.
\n" ); document.write( "\"720-5x+=+440\" Subtract 720 from both sides.
\n" ); document.write( "\"-5x+=+-280\" Divide both sides by -5.
\n" ); document.write( "\"x+=+56\"degrees.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( " = \"17%2B93+=+110\" OK!
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