document.write( "Question 211072: Hi there,
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document.write( " I can't believe I just don't get this problem. It's killing me and I can't go to sleep without solving it. Any help would be appreciated!
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document.write( "The complement of an angle measures 10 Degrees less than one-fifth of its supplement. Find the measure of the angle.
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document.write( "THANK YOU!!!! \n" );
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Algebra.Com's Answer #159470 by Earlsdon(6294) ![]() You can put this solution on YOUR website! Let the angle be A, then: \n" ); document.write( "90-A = (1/5)(180-A)-10 Simplify and solve for A. \n" ); document.write( "90-A = 36-(1/5)A-10 \n" ); document.write( "90-A = 26-(1/5)A Add A to both sides. \n" ); document.write( "90 = 26+(4/5)A Subtract 26 from both sides. \n" ); document.write( "64 = (4/5)A Multiply both sides by 5/4 \n" ); document.write( "80 = A \n" ); document.write( "The angle is 80 degrees. \n" ); document.write( "Check: \n" ); document.write( "90-80 = (1/5)(180-80)-10 \n" ); document.write( "10 = (1/5)(100)-10 \n" ); document.write( "10 = 20-10 \n" ); document.write( "10 = 10 \n" ); document.write( "Good night and sleep well! \n" ); document.write( " \n" ); document.write( " |