document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179764>Question 179764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one angle of a triangle is 20 degrees.,  How large is the angle formed by the bisector of the other two angles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134674 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I presume you mean that you need the measure of the angle formed by the intersection of the two bisectors of the other two angles in the triangle.\r<BR>\n" );
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document.write( "If one angle of a triangle measures 20 degrees, then the sum of the other two angles must be 180 - 20 = 160 degrees because the sum of the interior angles of a triangle is 180.\r<BR>\n" );
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document.write( "The bisectors of the other two angles form a triangle with vertices at the vertices of the two original bisected angles and the point of intersection of the bisectors.  Each of the angles at the original veritices is one-half of the orignial angle by definition of a bisector, so the sum of these two angles is one-half of the sum of the original angles previously determined to be 160 degrees, hence the sum of the half-angles is 80 degrees.\r<BR>\n" );
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document.write( "Again, since the sum of the measures of the interior angles of a triangle is 180 degrees, subtracting 80 leaves 100 degrees for the measure of the angle formed by the bisectors.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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