document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698828>Question 698828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the variables and the measure of each angle. <BR>\n" );
document.write( "two lines cross each other like an X. <BR>\n" );
document.write( "the top is (x+y+5) degrees<BR>\n" );
document.write( "the one on the right is (2x) degrees <BR>\n" );
document.write( "and the one to the left is (y) degrees<BR>\n" );
document.write( "I have tried over and over to solve this problem but I don't know how to solve it with two variables. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431058 by </B><A HREF=/tutors/aboutme.mpl?userid=Simnepi><B>Simnepi(216)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Simnepi><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=Simnepi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When two straight lines cross opposite angles are equal.<BR>\n" );
document.write( "From your description the angle y and the angle 2x are opposite each other. Therefore they are the same. <BR>\n" );
document.write( "So now we know that y = 2x.<BR>\n" );
document.write( "This means that the top angle in your diagram can be written<BR>\n" );
document.write( "(x+2x+5) degrees<BR>\n" );
document.write( "This is the same as 3x+5.<BR>\n" );
document.write( "Look at your diagram and cover the left and bottom angles with a piece of paper.<BR>\n" );
document.write( "You should see that the top angle and the angle on the right are on a straight line. you should know that angles on a line add up to 180 degrees.<BR>\n" );
document.write( "So now we can say that<BR>\n" );
document.write( "3x+5 + 2x = 180<BR>\n" );
document.write( "which means that<BR>\n" );
document.write( "5x + 5 = 180<BR>\n" );
document.write( "therefore <BR>\n" );
document.write( "5x = 175<BR>\n" );
document.write( "and so <BR>\n" );
document.write( "x = 35 degrees<BR>\n" );
document.write( "Now you can see that<BR>\n" );
document.write( "y = 70 degrees (2 times 35)(the same as the 2x angle, remember they're equal when they're opposite)<BR>\n" );
document.write( "and the top angle is<BR>\n" );
document.write( "35 + 70 + 5 = 110 degrees<BR>\n" );
document.write( "The bottom angle is the same as the top (they're opposite angles too!) </SPAN>\n" );
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