document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147340>Question 147340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that the sum of the angles of any quadrilateral is 360 degrees.\r<BR>\n" );
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document.write( "does it have to do with the expression:   (n-2)180 <BR>\n" );
document.write( "where n is the number of sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107778 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, you can form a corollary from the rule (n-2)180.\r<BR>\n" );
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document.write( "Case n=4 then 2*180=360.\r<BR>\n" );
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document.write( "However, a more exhaustive proof is better.\r<BR>\n" );
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document.write( "Conjecture (Quadrilateral Sum ): The sum of the measures of the interior angles in any convex quadrilateral is 360 degrees.\r<BR>\n" );
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document.write( "Proof: We can break a convex quadrilateral into 2 triangles. Because the angles in a triangle add to 180 degrees by a Triangle Sum Conjecture, we have 2*180=360.\r<BR>\n" );
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document.write( "QED </SPAN>\n" );
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