document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342282>Question 342282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)In a regular polygon the difference between the interior angle of a (n-1) sided polygon & (n+1) polygon is 9 degree. find n?\r<BR>\n" );
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document.write( "2)In a regular polygon the difference between the exterior angle of a (n-1) &(n+2) Sided polgon is 6 degree. Find n? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244961 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=244961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)In a regular polygon the difference between the interior angle of a (n-1) sided polygon & (n+1) polygon is 9 degree. find n?<BR>\n" );
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document.write( "Fact: The sum of the exterior angles is 360 degrees.\r<BR>\n" );
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document.write( "n-1 sided Polygon DATA<BR>\n" );
document.write( "Size of each exterior angle = 360/(n-1)<BR>\n" );
document.write( "Size of each interior angle = 180-[360/(n-1)]<BR>\n" );
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document.write( "n+1 sided Polygon DATA<BR>\n" );
document.write( "Size of each exterior angle = 360/(n+1)<BR>\n" );
document.write( "Size of each interior angle = 180-[360/(n+1)]<BR>\n" );
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document.write( "Equation: Difference = 9 degrees<BR>\n" );
document.write( "180-[360/(n+1)] - [180-[360/(n-1)] = 9 degrees<BR>\n" );
document.write( "-(360/(n+1) + 360/(n-1) = 9 degrees<BR>\n" );
document.write( "-1/(n+1) + 1/(n-1) = 1/40<BR>\n" );
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document.write( "-40(n-1)+40(n+1) = (n+1)(n-1)<BR>\n" );
document.write( "80 = n^2-1<BR>\n" );
document.write( "n^2 = 81<BR>\n" );
document.write( "n = 9 <BR>\n" );
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document.write( "2)In a regular polygon the difference between the exterior angle of a (n-1) &(n+2) Sided polgon is 6 degree. Find n?<BR>\n" );
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document.write( "Comment: Same process<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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