document.write( "Question 162875This question is from textbook mathemathical ideas
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document.write( ": Trouble setting this up.
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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.
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document.write( "Thank You in advance for your help.
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document.write( "George \n" );
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Algebra.Com's Answer #120045 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Remember, if two angles are \"supplementary\" then the sum of the two angles is 180. And, if two angles are \"complementary\" then the sum of the two angles is 90. \n" ); document.write( ". \n" ); document.write( "Let x = \"the angle\" \n" ); document.write( "then \n" ); document.write( "180-x = the supplement \n" ); document.write( "90-x = the complement \n" ); document.write( ". \n" ); document.write( "From: \"Half the supplement of the angle is 12 degrees less than twice the complement of the angle.\" \n" ); document.write( ". \n" ); document.write( "(1/2)(180-x) = 2(90-x) - 12 \n" ); document.write( "180-x = 4(90-x) - 24 \n" ); document.write( "180-x = 360 -4x - 24 \n" ); document.write( "180-x = 336 -4x \n" ); document.write( "180+3x = 336 \n" ); document.write( "3x = 156 \n" ); document.write( "x = 52 degrees\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |