document.write( "Question 1131250: the measure of the supplement of an angle is 6 times the measure of its complement. Find the angle measure \n" ); document.write( "

Algebra.Com's Answer #747872 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let x be the angle measure in degrees.\r\n" );
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document.write( "Then the supplementary angle is (180-x) degrees, while the complementary angle is (90-x) degrees.\r\n" );
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document.write( "Then the problem says\r\n" );
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document.write( "180-x = 6*(90-x)\r\n" );
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document.write( "180 - x = 540 - 6x\r\n" );
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document.write( "6x - x = 540 - 180\r\n" );
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document.write( "5x = 360\r\n" );
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document.write( "x =  = 72 degrees.     Answer\r\n" );
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