document.write( "Question 162951: Hi,
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document.write( "I'm trying to figure out how to set up this problem:\r
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document.write( "Find the measure of an angle such that the difference between the measure of
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document.write( "its supplement and 5 times the measure of the complement is 10 degrees.\r
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document.write( "This question is on a worksheet that my professor gave us for homework.\r
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document.write( "I tried setting it up like this:\r
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document.write( "(180-x) = 5(90-x) - 10 \r
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document.write( "Thank you,
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document.write( "Joan \n" );
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Algebra.Com's Answer #120077 by Earlsdon(6294) ![]() 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. \n" ); document.write( " |