document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092997>Question 1092997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the math question: Find the measures of the labeled angles. The figure sows an X shape with (x+90•) on the left, and 6x• on the right side. It’s asking for what (x+90•) equals, and what 6x• equals as well. In the picture the angles look congruent. NOTE “•” is the symbol for degrees. I’ve trued everything. I’ve tried making it (6x^2+90) and I got a long number that will not be accepted. Can you possibly help me out?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707604 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the figure looks like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-81%2C81%2C-81%2C81%2C%0D%0Aarrow%280%2C0%2C-58.8%2C80.9%29%2Carrow%280%2C0%2C-58.8%2C-80.9%29%2C%0D%0Aarrow%280%2C0%2C58.8%2C80.9%29%2Carrow%280%2C0%2C58.8%2C-80.9%29%2C%0D%0Ared%28arc%280%2C0%2C50%2C50%2C-54%2C54%29%29%2Clocate%2825%2C5%2C6x%5Eo%29%2C%0D%0Ared%28arc%280%2C0%2C50%2C50%2C126%2C234%29%29%2Clocate%28-47%2C5%2Cx%2B90%5Eo%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > , the angles marked with red arcs<BR>\n" );
document.write( "have sides made from the same two straight lines,<BR>\n" );
document.write( "but the only part they have in common is their vertex.\r<BR>\n" );
document.write( "\n" );
document.write( "In English I have seen them called \"vertical angles.\"<BR>\n" );
document.write( "The \"vertical\" part refers to their vertex.<BR>\n" );
document.write( "In Spanish, I have heard them called \"opuestos por el vertice.\"<BR>\n" );
document.write( "Teachers like you to remember the names they told you in class.\r<BR>\n" );
document.write( "\n" );
document.write( "Whatever you call them, those angles are mirror images of each other,<BR>\n" );
document.write( "so by flipping (or rotating around the vertex) one of those angles,<BR>\n" );
document.write( "it can be exactly superimposed on the other.<BR>\n" );
document.write( "A teacher would call them \"congruent.\"<BR>\n" );
document.write( "That means that they have the same measure, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=x%2B90 ALIGN=MIDDLE  ALT=\"6x=x%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and that is the equation to solve to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=x%2B90 ALIGN=MIDDLE  ALT=\"6x=x%2B90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-x=x%2B90-x ALIGN=MIDDLE  ALT=\"6x-x=x%2B90-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=90 ALIGN=MIDDLE  ALT=\"5x=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=90%2F5 ALIGN=MIDDLE  ALT=\"x=90%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the measure of each of those angles is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2890%2Bx%29%5Eo=%2890%2B18%29%5Eo=highlight%28108%5Eo%29 ALIGN=MIDDLE  ALT=\"%2890%2Bx%29%5Eo=%2890%2B18%29%5Eo=highlight%28108%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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