document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233660>Question 233660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can a regular polygon have an interior angle of 157 degrees ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172494 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think no.\r<BR>\n" );
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document.write( "the formula is:\r<BR>\n" );
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document.write( "degrees of each angle = (n-2) * 180 / n\r<BR>\n" );
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document.write( "Let d = degrees of the angle.\r<BR>\n" );
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document.write( "d = (n-2) * 180 / n\r<BR>\n" );
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document.write( "Multiply both sides by n to get:\r<BR>\n" );
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document.write( "d*n = (n-2) * 180\r<BR>\n" );
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document.write( "Remove Parentheses to get:\r<BR>\n" );
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document.write( "d*n = 180*n - 360\r<BR>\n" );
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document.write( "Subtract d*n from both sides and add 360 to both sides to get:\r<BR>\n" );
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document.write( "180*n - d*n = 360\r<BR>\n" );
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document.write( "Factor out the n to get:\r<BR>\n" );
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document.write( "(180-d)*n = 360\r<BR>\n" );
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document.write( "Divide both sides by (180-d) to get:\r<BR>\n" );
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document.write( "n = 360 / (180-d)\r<BR>\n" );
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document.write( "360 / (180-d) has to be an integer.\r<BR>\n" );
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document.write( "If d = 157, then:\r<BR>\n" );
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document.write( "n = 360 / (180-157) becomes:\r<BR>\n" );
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document.write( "n = 360 / 23 which becomes:\r<BR>\n" );
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document.write( "n = 15.65..... which is not an integer.\r<BR>\n" );
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document.write( "The answer is no because n is not an integer as it needs to be.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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