document.write( "Question 1093187: Problem 2: Given ABCD is a parallelogram, what value must x & y have?\r
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Algebra.Com's Answer #707799 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
The long way:
\n" ); document.write( "5y-28=3y+12, since they are congruent.
\n" ); document.write( "2y=40
\n" ); document.write( "y=20 degrees
\n" ); document.write( "check that 72=72
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\n" ); document.write( "4x-12+5y-28=180, since same side angles are supplementary. I could use 3y+12, because that is equal
\n" ); document.write( "substitute 100 for 5y
\n" ); document.write( "4x+100-40=180
\n" ); document.write( "4x=120
\n" ); document.write( "x=30 degrees
\n" ); document.write( "4x-12=108 degrees
\n" ); document.write( "108+72=180 degrees.
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\n" ); document.write( "The short way: Opposite angles are congruent, so 4x-12=108 and that can give x directly.
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