document.write( "Question 1022991: in parallelogram wxyz, the measurment of angle X is 16 less than three times the measurement of angle Y. find the measure of each angle\r
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Algebra.Com's Answer #638560 by ikleyn(52873) $\"\"$ $\"About$

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\n" ); document.write( "in parallelogram wxyz, the measurment of angle X is 16 less than three times the measurement of angle Y. find the measure of each angle
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document.write( "Your equations are \r\n" );
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document.write( "x = 3y - 16,   (1)   (from the condition)\r\n" );
document.write( "x + y = 180.   (2)   (since the angles X and Y are supplementary, as the consequence angles of the parallelogram).\r\n" );
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document.write( "Substitute x = 3y - 16 (from (1) into (2). You will get a single equation for y\r\n" );
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document.write( "(3y - 16) + y = 180.\r\n" );
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document.write( "Simplify and solve:\r\n" );
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document.write( "4y = 180 + 16 = 196,\r\n" );
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document.write( "y =  = 49.\r\n" );
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document.write( "Thus y = 49 degrees, x = 180 - y = 180 - 49 = 131 degrees.\r\n" );
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