document.write( "Question 1147355: Half the measure of an angle is 25 more than one-third the measure of its supplement. Find the measure of the angle and its supplement \n" ); document.write( "

Algebra.Com's Answer #768660 by ikleyn(52787) $\"\"$ $\"About$

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document.write( " =  + 25.\r\n" );
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document.write( "It is your basic and starting equation, which follows the problem's description.\r\n" );
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document.write( "To solve this equation, multiply both sides by 6. You will get\r\n" );
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document.write( "3x = 2*(180-x) + 150,\r\n" );
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document.write( "3x = 360 - 2x + 150,\r\n" );
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document.write( "3x + 2x = 360 + 150\r\n" );
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document.write( "5x      = 510\r\n" );
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document.write( " x      =  = 102 degrees.    \r\n" );
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document.write( "ANSWER.  The angle's measure is 102 degrees.  Its supplement measure is  180-102 = 78 degrees.\r\n" );
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