document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112915>Question 112915</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395722853/algebrahomeworkh>Geometry Explorations and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of each variable that will allow you to prove that ABCD is a parallelogram. Then find the measure of each angle of the parallelogram. Angle B is (2x-3y) degrees: angle C is (x+y) degrees; angle D is (5x-y) degrees. Angle A is blank but A is opposite of angle C on the parallelogram and angle B is opposite angle D. Please help. Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82273 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x-3y=5x-y because B & D are equal<BR>\n" );
document.write( "-3x=2y Add 3y-5x to each side<BR>\n" );
document.write( "y=-3x/2 divide each side by 2.<BR>\n" );
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document.write( "5x+3x/2=180-x+3x/2 because C & D are supplementary.<BR>\n" );
document.write( "10x+3x=360-2x+3x multiply each side by 2 to eliminate fractions.<BR>\n" );
document.write( "13x=360+x<BR>\n" );
document.write( "13x-x=360+x-x<BR>\n" );
document.write( "12x=360<BR>\n" );
document.write( "12x/12=360/12<BR>\n" );
document.write( "x=30<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=-3x/2<BR>\n" );
document.write( "=-90/2<BR>\n" );
document.write( "y=-45<BR>\n" );
document.write( ".<BR>\n" );
document.write( "D=5x-y=150+45=195<BR>\n" );
document.write( "B=2x-3y=60+135=195<BR>\n" );
document.write( "C=30-45=-15<BR>\n" );
document.write( "This is impossible for a parallelagram, of course.<BR>\n" );
document.write( "Maybe you go the figures wrong.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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