document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698835>Question 698835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of each variable and the measures of all the angles. <BR>\n" );
document.write( "The problem is a figure with two lines that are shaped like an X. <BR>\n" );
document.write( "The top angle is (2x) degrees. <BR>\n" );
document.write( "The angle to the right of the top angle is (x+y+10) degrees. <BR>\n" );
document.write( "And the angle to the left of the top angle is (4y) degrees  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431068 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=431068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is very much like the last one!<BR>\n" );
document.write( "From your description the 2x and the 4y are opposite and therefore, equal<BR>\n" );
document.write( "2x = 4y<BR>\n" );
document.write( "this means that<BR>\n" );
document.write( "x = 2y<BR>\n" );
document.write( "Putting this value into the angle on the right you get<BR>\n" );
document.write( "(2y+y+10) = (3y+10)<BR>\n" );
document.write( "Now cover up the top and left angles to see the straight line.the angles on a straight line sum to 180 degrees<BR>\n" );
document.write( "This means that <BR>\n" );
document.write( "(3y+10) + 4y = 180<BR>\n" );
document.write( "or simplifying<BR>\n" );
document.write( "7y+10 = 180<BR>\n" );
document.write( "which means that<BR>\n" );
document.write( "7y = 170<BR>\n" );
document.write( "or y = 24<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees (twenty four and two sevenths)<BR>\n" );
document.write( "this means that the bottom angle on your diagram (and also the top angle as they are opposite and equal)<BR>\n" );
document.write( "is 97<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees (ninety seven and one seventh)<BR>\n" );
document.write( "And the left end right angles are<BR>\n" );
document.write( "82<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7 ALIGN=MIDDLE  ALT=\"6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees (eighty two and six sevenths)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );