document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018762>Question 1018762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the angle of rotation of this regular octagon? What is the measure of an interior angle?\r<BR>\n" );
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document.write( "A.<BR>\n" );
document.write( "45°, 135°<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "22.5°, 135°<BR>\n" );
document.write( "C.<BR>\n" );
document.write( "45°, 108°<BR>\n" );
document.write( "D.<BR>\n" );
document.write( "22.5°, 108°<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634792 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=634792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> octagon interior angle can be calculated as 180 * (n-2) / n.\r<BR>\n" );
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document.write( "n = 8.\r<BR>\n" );
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document.write( "interior angle = 180 * 6 / 8 = 180 * 3 / 4 = 45 * 3 = 135 degrees.\r<BR>\n" );
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document.write( "the internal angle is the supplement of the exterior angle.\r<BR>\n" );
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document.write( "the extreior angle is equal to 360 / 8 = 45 degrees.\r<BR>\n" );
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document.write( "180 - 45 = 135 degrees.\r<BR>\n" );
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document.write( "the angle of rotation is the smallest angle the figure can be rotated and still look the same.\r<BR>\n" );
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document.write( "this appears to be 45 degrees.\r<BR>\n" );
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document.write( "in fact, it appears that the angle of rotation is the central angle of a regular polygon.\r<BR>\n" );
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document.write( "the formula is equal to 360 / n, where n is the number of sides.\r<BR>\n" );
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document.write( "here's a reference that discusses exactly the topic you are asking about.\r<BR>\n" );
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document.write( "if even shows an octagon as one of the examples.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.emathematics.net/transformations.php?def=rotational\" target = \"_blank\">http://www.emathematics.net/transformations.php?def=rotational</a>\r<BR>\n" );
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document.write( "this, in fact, is also the formula for the exterior angle of a polygon.\r<BR>\n" );
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document.write( "interior angle = 180 * (n-2) / n\r<BR>\n" );
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document.write( "interior angle = 180 - exterior angle.\r<BR>\n" );
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document.write( "exterior angle = 360 / n\r<BR>\n" );
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document.write( "central angle = 360 / n\r<BR>\n" );
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document.write( "it appears that angle of rotation is also equal to 360 / n as well.\r<BR>\n" );
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document.write( "your solution should be selection A.\r<BR>\n" );
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