document.write( "Question 1144725: The measure of the supplement of an angle is 40 more than two times the measure of the complement of an angle. Find the measure of the angle.
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Algebra.Com's Answer #765897 by ikleyn(52795) $\"\"$ $\"About$

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\n" ); document.write( "The measure of the supplement of an angle is 40 more than two times the measure of the complement of $\"highlight%28cross%28an%29%29\"$ the angle.
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document.write( "Let x be the measure of the angle (the value under the question).\r\n" );
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document.write( "Then the supplement of the angle is 180-x degrees, while\r\n" );
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document.write( "     the complement of the angle is  90-x degrees,\r\n" );
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document.write( "and we are given that\r\n" );
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document.write( "     180-x = 2*(90-x) + 40.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "     180 - x = 2*90 - 2x + 40\r\n" );
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document.write( "     180 - x = 180 - 2x + 40\r\n" );
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document.write( "     2x  - x = 40\r\n" );
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document.write( "      x      = 40  degrees.      ANSWER\r\n" );
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