document.write( "Question 992150: The supplement of an angle is 60 degrees less than twice the supplement of the compliment. Find the complement. Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #611780 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Let x be the measure of the given angle in degrees.\r
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\n" ); document.write( "\n" ); document.write( "Then the supplement angle is (180° - x).\r
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\n" ); document.write( "\n" ); document.write( "The complement angle is (90° -x),\r
\n" ); document.write( "\n" ); document.write( "and the supplement to the complement angle is 180°-(90°-x) = 90°+x.\r
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\n" ); document.write( "\n" ); document.write( "So you have an equation \r
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\n" ); document.write( "\n" ); document.write( "(180-x) + 60 = 2*(90+x).\r
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\n" ); document.write( "\n" ); document.write( "Simplify and solve it:\r
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\n" ); document.write( "\n" ); document.write( "180 - x + 60 = 180 + 2x,\r
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\n" ); document.write( "\n" ); document.write( "3x = 60,\r
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\n" ); document.write( "\n" ); document.write( "x = 20°. \r
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