document.write( "Question 104853: My son and I have been working on this for hours
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document.write( "twice the supplement of the complement of an angle is 60 degrees more than the supplement of the angle. find the complement of the angle \n" );
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Algebra.Com's Answer #76295 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! First, let's find the angle, which we can call angle A, then we can find its complement (90-A) to answer the problem. \n" ); document.write( "The supplement of A is 180-A and the complement of A is 90-A \n" ); document.write( "From the problem description, we can write: \n" ); document.write( "2(180-(90-A)) = (180-A)+60 Simplify this and solve for A \n" ); document.write( "2(180-90+A) = 180+60-A \n" ); document.write( "2(90+A) = 240-A \n" ); document.write( "180+2A = 240-A Add A to both sides of the equation. \n" ); document.write( "180+3A = 240 Now subtract 240 from both sides. \n" ); document.write( "3A = 60 Finally, divide both sides by 3. \n" ); document.write( "A = 20 degrees. Now we can find the complement of A (90-A) as required by the problem. \n" ); document.write( "90-A = 90-20 = 70 degrees. \n" ); document.write( "The solution is: \n" ); document.write( "The complement of the angle is 70 degrees.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |