document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193156>Question 1193156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In trapezoid ABCD (not shown), <BR>\n" );
document.write( "m∠A = <BR>\n" );
document.write( "x/2+ 30, m∠B = <BR>\n" );
document.write( "x/3+ 50, and m∠C = <BR>\n" );
document.write( "x/5+ 50.<BR>\n" );
document.write( " Find all possible values of x. (Enter your answers as a comma-separated list.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825160 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other tutor is not complete; there are two different trapezoids that are possible with the given information.  That fact is suggested by the instructions that say to find \"all possible values\" of x.<br><BR>\n" );
document.write( "Case 1: angles A and B are supplementary<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F2%2B30%29%2B%28x%2F3%2B50%29=180 ALIGN=MIDDLE  ALT=\"%28x%2F2%2B30%29%2B%28x%2F3%2B50%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2%2Bx%2F3=100 ALIGN=MIDDLE  ALT=\"x%2F2%2Bx%2F3=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F6%29x=100 ALIGN=MIDDLE  ALT=\"%285%2F6%29x=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100%286%2F5%29=120 ALIGN=MIDDLE  ALT=\"x=100%286%2F5%29=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That value for x leads to A=90, B=90, C=74, D=116<br><BR>\n" );
document.write( "ANSWER 1: one possible value for x is 100<br><BR>\n" );
document.write( "Case 2: angles B and C are supplementary<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%2B50%29%2B%28x%2F5%2B50%29=180 ALIGN=MIDDLE  ALT=\"%28x%2F3%2B50%29%2B%28x%2F5%2B50%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2Bx%2F5=80 ALIGN=MIDDLE  ALT=\"x%2F3%2Bx%2F5=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F15%29x=80 ALIGN=MIDDLE  ALT=\"%288%2F15%29x=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=80%2815%2F8%29=150 ALIGN=MIDDLE  ALT=\"x=80%2815%2F8%29=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That value for x leads to A=105, B=100, C=80, D=75<br><BR>\n" );
document.write( "ANSWER 2: another possible value for x is 150<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );