document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=496623>Question 496623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of each variable and the measure of each labeled angles. There are two lines that cross (like an X) the top is: (x plus y plus 5) degrees. The left is y degrees. The right is: 2x degrees.  I don't know how I'm suppose to solve with two variables? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336527 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The left and right angles are equal, they are a pair of vertical angles.<BR>\n" );
document.write( "Knowing this we are able to equate the y's to x's; this is how we can solve this problem which has two variables.<BR>\n" );
document.write( "The same can be said for the top and bottom angles.<BR>\n" );
document.write( "We also know the sum of the 4 angles is 360.\r<BR>\n" );
document.write( "\n" );
document.write( "=====================================================================<BR>\n" );
document.write( "so first up, lets change all our y's to 2x.<BR>\n" );
document.write( "Top: x + 2x + 5<BR>\n" );
document.write( "Bottom: x + 2x + 5<BR>\n" );
document.write( "Left: 2x<BR>\n" );
document.write( "Right: 2x<BR>\n" );
document.write( "================================================================<BR>\n" );
document.write( "Now add all 4 to sum to 260 degrees.<BR>\n" );
document.write( "x + 2x + 5 + x + 2x + 5 + 2x + 2x = 360<BR>\n" );
document.write( "10x = 350 degrees<BR>\n" );
document.write( "x = 35 degrees.<BR>\n" );
document.write( "==============================================================<BR>\n" );
document.write( "So the top is 110 degrees.<BR>\n" );
document.write( "The bottom is 110 degrees.<BR>\n" );
document.write( "The left is 70 degrres<BR>\n" );
document.write( "The right is 70 degrees.<BR>\n" );
document.write( "110 + 110 + 70 + 70 = 360 degrees.<BR>\n" );
document.write( "============================================================<BR>\n" );
document.write( "This does check.<BR>\n" );
document.write( "Cleomenius. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );