document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041488>Question 1041488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in &#8710;ABC ,AB=AC.  Bisectors of ang. B  and ang. c meet at O.  If ang. A=40°,find the measure of ang. BOC.<BR>\n" );
document.write( "THANKYOU .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656466 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the given AB = AC we know that the triangle is isosceles.\r<BR>\n" );
document.write( "\n" );
document.write( "==> angle B is congruent to angle C\r<BR>\n" );
document.write( "\n" );
document.write( "Since lines OB and OC bisect angles B and C respectively, angles ABO, OBC, ACO, and OCB are all congruent.  <BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha ALIGN=MIDDLE  ALT=\"alpha\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the measure of any one of these four angles.\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Aalpha+%2B+40%5Eo+=+180%5Eo ALIGN=MIDDLE  ALT=\"4%2Aalpha+%2B+40%5Eo+=+180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+=+35%5Eo ALIGN=MIDDLE  ALT=\"alpha+=+35%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
document.write( "\n" );
document.write( "==> Isoscles triangle BOC has base angles each measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%5Eo ALIGN=MIDDLE  ALT=\"35%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "==> Measure of angle BOC = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo+-+2%2A35%5Eo+=+110%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo+-+2%2A35%5Eo+=+110%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );