document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752033>Question 752033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> is it possible to draw a regular polygon with an interior angle of 115 degrees grade6 explanation  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457524 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:  is it possible to draw a regular polygon with an interior angle of 115 degrees grade6 explanation <BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "If each interior angle of a regular polygon with n sides is 115°, then the sum of the interior angles is equal to 115n degrees.<BR>\n" );
document.write( "In a polygon with n sides, the sum of the interior angles is 180(n - 2) degrees.<BR>\n" );
document.write( "180(n - 2) = 115n<BR>\n" );
document.write( "180n - 360 = 115n<BR>\n" );
document.write( "65n = 360<BR>\n" );
document.write( "n &#8776; 5.538 (NOT a whole number)<BR>\n" );
document.write( "If a polygon has n sides then, n must be a whole number greater than or equal to 3.<BR>\n" );
document.write( "It is NOT possible to draw a regular polygon with an interior angle of 115 degrees because the computed value of n is NOT a whole number.<BR>\n" );
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