document.write( "Question 1019799: If ABCD is a parallelogram, m∠A = x° and m∠D = (2x-3)°, find the value of 'x'. \n" ); document.write( "

Algebra.Com's Answer #635726 by ikleyn(52775) $\"\"$ $\"About$

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\n" ); document.write( "If ABCD is a parallelogram, m∠A = x° and m∠D = (2x-3)°, find the value of 'x'.
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document.write( "A and D are consecutive angles of the parallelogram.\r\n" );
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document.write( "Since in any parallelogram the consecutive angles add up to 180°, you have an equation\r\n" );
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document.write( "x + (2x -3) = 180.\r\n" );
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document.write( "Simplify and solve:\r\n" );
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document.write( "3x = 180 + 3 = 183,\r\n" );
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document.write( "x =  = 61°.\r\n" );
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