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 #748057 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=748057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Some of the answers from the other tutor are not right.  An exterior angle of a polygon is 180 degrees minus the interior angle -- not 360 minus the interior angle.<br><BR>\n" );
document.write( "2.A<br><BR>\n" );
document.write( "To make calculations easier, I personally would change the given information to say that the sum of all the interior AND EXTERIOR angles is 2340+360 = 2700 degrees.  Then that 2700 divided by 180 gives the number of sides in the polygon.<br><BR>\n" );
document.write( "2700/180 = 15.  The polygon has 15 sides.<br><BR>\n" );
document.write( "2.C<br><BR>\n" );
document.write( "The measure of an exterior angle is 360 degrees divided by the number of sides.<br><BR>\n" );
document.write( "360-15 = 24.  The measure of each exterior angle is 24 degrees.<br><BR>\n" );
document.write( "2.B<br<BR>\n" );
document.write( "The measure of an interior angle is 180 degrees minus the measure of an exterior angle.<br><BR>\n" );
document.write( "180-24 = 156.  The measure of each interior angle is 156 degrees.<br><BR>\n" );
document.write( "3. In a regular polygon, the number of sides is 360 degrees divided by the measure of each exterior angle.<br><BR>\n" );
document.write( "360/20 = 18.  A regular polygon with exterior angles of 20 degrees has 18 sides.<br><BR>\n" );
document.write( "5. (The other tutor's answers are fine for this one....)<br><BR>\n" );
document.write( "7. This question can't be answered, because the statement of the problem has severe faults.<br><BR>\n" );
document.write( "(1) The statement of the problem only says the sum of the measures of the interior angles is equal to the sum of \"six consecutive rational numbers\"; it doesn't say the six interior angles are those six consecutive rational numbers.<BR>\n" );
document.write( "(2) There is no such thing as \"six consecutive rational numbers\".  \"six consecutive integers\" makes sense; but there are no six consecutive integers with a sum of 720.<BR>\n" );
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