document.write( "Question 1183528: The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement. \n" ); document.write( "

Algebra.Com's Answer #813894 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle.
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document.write( "Let x be  the angle  (which is called  \"an angle\"  in the problem's description).\r\n" );
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document.write( "Then the supplement is  (180-x) degrees,\r\n" );
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document.write( "and the complement is (90-x) degrees, while the supplement of the complement of the angle is  (180 - (90-x)) = 90+x degrees.\r\n" );
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document.write( "Next, write the equation as you read the text\r\n" );
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document.write( "    180-x = 2*(90+x) - 60.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    180-x = 180 + 2x - 60\r\n" );
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document.write( "       -x =       2x - 60\r\n" );
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document.write( "       60 =       2x + x\r\n" );
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document.write( "       60 =       3x\r\n" );
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document.write( "        x =       60/3 = 20.\r\n" );
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document.write( "Thus the angle is 20 degrees, and its complement (which is under the problem's question) is 90-20 = 70 degrees.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems on supplementary and complementary angles, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Angles basics \r
\n" ); document.write( "\n" ); document.write( "    - Vertical angles \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on supplementary and complementary angles
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your handbook, textbook, guide, tutorials and (free of charge) home teacher.\r
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