document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131357>Question 1131357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.) The sum of the interior angles of a regular polygon is 2340 degrees \r<BR>\n" );
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document.write( "Part A: Classify the polygon by the number of side \r<BR>\n" );
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document.write( "B: What is the measure of one interior angle of  the polygon?\r<BR>\n" );
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document.write( "C: What is the measure of one exterior angle of the polygon? \r<BR>\n" );
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document.write( "3.) If the measure of an exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have? Justify your answer. \r<BR>\n" );
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document.write( "5.) Given the regular heptagon and a regular hexagon <BR>\n" );
document.write( "Part A: Which one has a greater angle? By how much is the angle greater? \r<BR>\n" );
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document.write( "B: Which one has a greater interior angle? By how much is the angle greater? \r<BR>\n" );
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document.write( "7.) The sum of the interior angles of a hexagon is equal to the sum of six consecutive rational numbers. What is the measure of the smallest interior angle of the hexagon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748027 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2. Sum of interior angles of regular polygon = 2340<BR>\n" );
document.write( "The sum of the interior angles of an n-sided polygon = 180(n-2). <BR>\n" );
document.write( "Two examples are n = 3, equilateral triangle, S = 180 deg and n = 4, square, S = 360<BR>\n" );
document.write( "2340 = 180(n-2)<BR>\n" );
document.write( "n = 2340/180 + 2 = 15<BR>\n" );
document.write( "The measure of one interior angle = 2340/15 = 156<BR>\n" );
document.write( "The measure of one exterior angle = 360 - 156 = 204\r<BR>\n" );
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document.write( "3. If the exterior angle = 20, this implies an interior angle of 340 degrees.<BR>\n" );
document.write( "Interior angles of polygons must be less than 180 degrees, so the polygon does not exist.\r<BR>\n" );
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document.write( "5.  Heptagon has more sides and thus the larger interior angle<BR>\n" );
document.write( "Heptagon: 180(7-2) = 900 -> Interior angle = 900/7 = 128.57<BR>\n" );
document.write( "Hexagon: 180(6-2) = 720 -> Interior angle = 720/6 = 120<BR>\n" );
document.write( "Greater by 8.57 deg\r<BR>\n" );
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document.write( "7. Let x = the smallest angle.  180(n-2) = 720 = x + x+1 + x+2 + x+3 + x+4 + x+5<BR>\n" );
document.write( "180(n-2) = 6x + 15 = 720<BR>\n" );
document.write( "x = 705/6 = 117.5\r<BR>\n" );
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