document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480043>Question 480043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the measure if the vertex angle of an isosceles right triangle when one of its base angles has a measure of 60 degree?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852379 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52866)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "what is the measure if the vertex angle of an isosceles right triangle when one of its base angles has a measure of 60 degree?<BR>\n" );
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document.write( "The formulation of this problem is below floor level, &nbsp;i.e. &nbsp;is completely absurdist.\r<BR>\n" );
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document.write( "In &nbsp;Euclidean geometry on the plane, &nbsp;there is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28no%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28no%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;such an isosceles right triangle <BR>\n" );
document.write( "with one of its base angle measure of 60 degrees.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Simply the composer, who creates such problems, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is &nbsp;TOTALLY &nbsp;and &nbsp;FATALLY &nbsp;illiterate and incompetent in &nbsp;Math.\r<BR>\n" );
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document.write( "As tutor @Theo solves this problem, &nbsp;leaving without his comments or corrections <BR>\n" );
document.write( "the fact that the problem's formulation is incorrect, &nbsp;it forces me to assume <BR>\n" );
document.write( "that @Theo either did not read the problem or did not understand what was written in the post.\r<BR>\n" );
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document.write( "In this form, &nbsp;the problem is so &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28DEFECTIVE%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28DEFECTIVE%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;that its only place is in a garbage bin.\r<BR>\n" );
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document.write( "It is also good for scaring people on Halloween.\r<BR>\n" );
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document.write( "Serious &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28reprimand%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28reprimand%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;to the creator of this problem for his or her complete incompetence in &nbsp;Math.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The interesting fact is that an isosceles right triangle with base angles of 60 degrees \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;can exist on a sphere. &nbsp;This is possible in spherical geometry, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;which differs significantly from Euclidean (flat plane) geometry.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I'm saying this to cheer you up and make you laugh.\r<BR>\n" );
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