document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928081>Question 928081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The interior angles of a certain traverse are given next. Determine whether each traverse closes (that is, forms a closed polygon). (HINT: You might begin by drawing each figure by using a protractor.) <BR>\n" );
document.write( "a. Angle A = 97.8°, Angle B = 61.3°, Angle C = 115.5, and Angle D = 82.6°\r<BR>\n" );
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document.write( "b. Angle A = 116°15’, Angle B = 89°45’ , Angle C = 103° 30’ Angle D = 128° 45’, and Angle E = 101° 45’ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563441 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=563441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the measures of the angles of a polygon with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides/angles add up to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n-2%29%2A180%5Eo ALIGN=MIDDLE  ALT=\"%28n-2%29%2A180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "a. ABCD could be a quadrilateral if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC%2BD=%284-2%29%2A180%5Eo=2%2A180%5Eo=360%5Eo ALIGN=MIDDLE  ALT=\"A%2BB%2BC%2BD=%284-2%29%2A180%5Eo=2%2A180%5Eo=360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "However, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=97.8%5Eo%2B61.3%5Eo%2B115.5%5Eo%2B82.6%5Eo=357.2%5Eo ALIGN=MIDDLE  ALT=\"97.8%5Eo%2B61.3%5Eo%2B115.5%5Eo%2B82.6%5Eo=357.2%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that traverse cannot close.<BR>\n" );
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document.write( "b. ABCDE could be a pentagon if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC%2BD%2BE=%285-2%29%2A180%5Eo=3%2A180%5Eo=540%5Eo ALIGN=MIDDLE  ALT=\"A%2BB%2BC%2BD%2BE=%285-2%29%2A180%5Eo=3%2A180%5Eo=540%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "However, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=116%5Eo%2B89%5Eo%2B103%5Eo%2B128%5Eo%2B101%5Eo=537%5Eo ALIGN=MIDDLE  ALT=\"116%5Eo%2B89%5Eo%2B103%5Eo%2B128%5Eo%2B101%5Eo=537%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2215%27%22%2B%2245%27%22%2B%2230%27%22%2B%2245%27%22%2B%2245%27%22=%22180%27%22=2%5Eo ALIGN=MIDDLE  ALT=\"%2215%27%22%2B%2245%27%22%2B%2230%27%22%2B%2245%27%22%2B%2245%27%22=%22180%27%22=2%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC%2BD%2BE=537%5Eo%2B2%5Eo=539%5Eo ALIGN=MIDDLE  ALT=\"A%2BB%2BC%2BD%2BE=537%5Eo%2B2%5Eo=539%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and that traverse cannot close either.<BR>\n" );
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document.write( "NOTE: After those answers, the next question is why.<BR>\n" );
document.write( "Why would someone make students add up so many ugly numbers, with so many chances of making mistakes? Why would someone give such a useless hint?<BR>\n" );
document.write( "Anyone using common geometry tools would probably be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5Eo ALIGN=MIDDLE  ALT=\"1%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > off.<BR>\n" );
document.write( "Is this a problem given to firefighters in training, and any mistake could result in death, so they must learn to use the greatest care in their calculations and the highest precision protractors for their traverse drawing?<BR>\n" );
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