document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066168>Question 1066168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the exterior angle of the vertex is 160°&#8203;, then the measure of the angle of each base is ______° and the measure of the vertex is ______° </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681355 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The triangle in this problem is not clearly described,<BR>\n" );
document.write( "but the problem does not make sense unless it is an isosceles triangle.<BR>\n" );
document.write( " <BR>\n" );
document.write( "In an isosceles triangle,<BR>\n" );
document.write( "there are two sides of equal length that we call legs,<BR>\n" );
document.write( "joined at a vertex that is called the apex.<BR>\n" );
document.write( "The other side is called the base,<BR>\n" );
document.write( "and the angles adjacent to the base,<BR>\n" );
document.write( "both having the same measure,<BR>\n" );
document.write( "are called base angles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28145%2C315%2C-1.5%2C2.5%2C-1%2C8%2C%0D%0Atriangle%280%2C5.67%2C-1%2C0%2C1%2C0%29%2C%0D%0Alocate%28-0.7%2C8%2Capex%29%2C%0D%0Aarrow%280%2C7.4%2C0%2C6%29%2C%0D%0Ared%28arc%28-1%2C0%2C1%2C1%2C-80%2C0%29%29%2C%0D%0Ared%28arc%281%2C0%2C1%2C1%2C180%2C260%29%29%2C%0D%0Alocate%28-0.4%2C-0.1%2Cred%28base%29%29%2C%0D%0Alocate%28-0.65%2C-0.6%2Cred%28angles%29%29%2C%0D%0Ared%28arc%28-0.5%2C0.1%2C0.7%2C0.7%2C90%2C200%29%29%2C%0D%0Ared%28arc%280.5%2C0.1%2C0.7%2C0.7%2C-20%2C90%29%29%2C%0D%0Agreen%28arrow%280%2C5.67%2C0.4%2C7.94%29%29%2C%0D%0Agreen%28arc%280%2C5.67%2C1.5%2C1.5%2C-80%2C80%29%29%2C%0D%0Alocate%280.8%2C6.17%2Cgreen%28exterior%29%29%2C%0D%0Alocate%280.8%2C5.67%2Cgreen%28angle%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "In any triangle, the measure of an exterior angle<BR>\n" );
document.write( "is the sum of the measure of the two interior angles<BR>\n" );
document.write( "that are not adjacent to that exterior angle.<BR>\n" );
document.write( "If the exterior angle by the apex measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%5Eo ALIGN=MIDDLE  ALT=\"160%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "each of the base angles measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%5Eo%2F2=highlight%2880%5Eo%29 ALIGN=MIDDLE  ALT=\"160%5Eo%2F2=highlight%2880%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The apex angle, supplementary to the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%5Eo ALIGN=MIDDLE  ALT=\"160%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > exterior angle,<BR>\n" );
document.write( "measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-160%5Eo=highlight%2820%5Eo%29 ALIGN=MIDDLE  ALT=\"180%5Eo-160%5Eo=highlight%2820%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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