document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180206>Question 180206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.     Can a triangle have two obtuse angles? Justify your answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135048 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No.<BR>\n" );
document.write( "The sum of the 3 angles of a triangle equals 180.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC=180 ALIGN=MIDDLE  ALT=\"A%2BB%2BC=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If two angles (A,B) are greater than 90, then their sum would be greater than 180.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=180%2BDELTA ALIGN=MIDDLE  ALT=\"A%2BB=180%2BDELTA\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA ALIGN=MIDDLE  ALT=\"DELTA\"   DISABLED_style= \"max-width:90%; height:auto;\" > is some arbitrarily small positive amount.<BR>\n" );
document.write( "Then substituting into eq. 1,<BR>\n" );
document.write( " 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC=180 ALIGN=MIDDLE  ALT=\"A%2BB%2BC=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2BDELTA%2BC=180 ALIGN=MIDDLE  ALT=\"180%2BDELTA%2BC=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA%2BC=0 ALIGN=MIDDLE  ALT=\"DELTA%2BC=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-DELTA ALIGN=MIDDLE  ALT=\"C=-DELTA\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We've shown that the remaining angle (C) would need to be negative to make the sum equal 180.<BR>\n" );
document.write( "That's not possible, therefore two obtuse angles would not be allowed in a triangle.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );