document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097500>Question 1097500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A polygon has an interior angle sum of 3060. How many sides must the polygon have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711931 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>By drawing all the diagonals from one vertex of a (convex) polygon with n sides, the polygon is divided into (n-2) triangles.  The angle sum in each triangle is 180 degrees; and the sum of the interior angles of the polygon is the sum of all the angles in all the triangles.<br><BR>\n" );
document.write( "(Draw a few figures of polygons with relatively small numbers of sides to see this, if it helps....)<br><BR>\n" );
document.write( "So the sum of the angle measures of a convex polygon with n sides is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%28n-2%29 ALIGN=MIDDLE  ALT=\"180%28n-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Your angle sum is 3060 degrees; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3060%2F180+=+17 ALIGN=MIDDLE  ALT=\"3060%2F180+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so 17 is (n-2), which means the polygon has 19 sides. </SPAN>\n" );
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