document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208365>Question 1208365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: Triangle ABC, Bisectors of < a and < b meet at O. Prove: m (< aob) > 90 degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846745 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=846745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In triangle ABC, the sum of the three angle measures is 180 degrees, so the sum of the measures of angles A and B is less than 180.<br><BR>\n" );
document.write( "In triangle AOB, angle OAB is half of angle A and angle OBA is half of angle B; therefore, the sum of the measures of angles OAB and OBA is less than 90 degrees.<br><BR>\n" );
document.write( "Angle AOB is the third angle in triangle AOB; since the sum of the measures in that triangle is 180 degrees, the measure of angle AOB is greater than 90 degrees.<br><BR>\n" );
document.write( "PROVED<br><BR>\n" );
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