document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013939>Question 1013939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the measures of two consecutive angles of a paralellogram is 72. Find the measures of all the angles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630345 by </B><A HREF=/tutors/aboutme.mpl?userid=crabbyoldgamer><B>crabbyoldgamer(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=crabbyoldgamer><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a parallelogram, consecutive angles are supplementary.  They add to 180.<P><BR>\n" );
document.write( "Let's call these consecutive angles x and y.  Let x be the larger angle.  We know two relationships between them:<P><BR>\n" );
document.write( "x + y = 180 and x-y = 72<P><BR>\n" );
document.write( "x-y = 72 ---> x = 72 + y:  substitute this x value into the first equation.<P><BR>\n" );
document.write( "72+y + y = 180<P><BR>\n" );
document.write( "2y = 108<P><BR>\n" );
document.write( "y = 54<P><BR>\n" );
document.write( "x = 72 + y = 72 + 54 = 126<P><BR>\n" );
document.write( "In a parallelogram opposite angles are congruent.  So there are two angles that are 54 degrees, y and the angle opposite it, and there are two angles that are 126 degrees, x and the angle opposite it.<BR>\n" );
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