document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151781>Question 151781</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. The measure of angle CBD is 10 less than twice the measure of angle ABD. If D is in the interior of angle ABC and the measure of angle ABC is 80, what is the measure of angle CBD? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111683 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We take the 1st condition: a. The measure of angle CBD is 10 less than twice the measure of angle ABD.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBD=2ABD-10 ALIGN=MIDDLE  ALT=\"CBD=2ABD-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------------------> eqn 1<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the interior of angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" >, there forms an angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABD ALIGN=MIDDLE  ALT=\"ABD\"   DISABLED_style= \"max-width:90%; height:auto;\" > right? Therefore, angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBD=ABC-ABD ALIGN=MIDDLE  ALT=\"CBD=ABC-ABD\"   DISABLED_style= \"max-width:90%; height:auto;\" >, see the correlation there?<BR>\n" );
document.write( "It's better you draw it to follow the interpretation better.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC=80deg ALIGN=MIDDLE  ALT=\"ABC=80deg\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBD=80-ABD ALIGN=MIDDLE  ALT=\"CBD=80-ABD\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---------------------> eqn 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Equating the 2 eqns:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ABD-10=80-ABD ALIGN=MIDDLE  ALT=\"2ABD-10=80-ABD\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ABD%2BABD=80%2B10 ALIGN=MIDDLE  ALT=\"2ABD%2BABD=80%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%283%29ABD%2Fcross%283%29=cross%2890%2930%2Fcross%283%29 ALIGN=MIDDLE  ALT=\"cross%283%29ABD%2Fcross%283%29=cross%2890%2930%2Fcross%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABD=30deg ALIGN=MIDDLE  ALT=\"ABD=30deg\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Go back eqn 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBD=80-30 ALIGN=MIDDLE  ALT=\"CBD=80-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBD=50deg ALIGN=MIDDLE  ALT=\"CBD=50deg\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------------> FINAL ANSWER<BR>\n" );
document.write( "IN doubt? go back eqn 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=2%2830%29-10 ALIGN=MIDDLE  ALT=\"50=2%2830%29-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=60-10 ALIGN=MIDDLE  ALT=\"50=60-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=50 ALIGN=MIDDLE  ALT=\"50=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > cool,<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );