document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622303>Question 622303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of sides of the regular polygon when the measure of an exterior angle is given.\r<BR>\n" );
document.write( "\n" );
document.write( "1. 30°<BR>\n" );
document.write( "2. 10°<BR>\n" );
document.write( "3. 24°<BR>\n" );
document.write( "4. 45°\r<BR>\n" );
document.write( "\n" );
document.write( "Please answer my question immediately. Thanks in advance! ;) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391376 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hi, there--<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The sum of the measures of the exterior angles of a polygon, one at each vertex, is always 360°.\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( "When you have a regular polygon, all the exterior angles have the same measure, as long as you measure corresponding angles at each vertex. So,<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[the angle measure in degrees] = [360 degrees] / [the number of vertices in the polygon]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "the number of vertices equals the number of sides, so<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[angle measure in degrees] = [360 degrees] / [the number of sides in the polygon]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let n be the number of sides.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then the angle measure is 360/n.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "I'll do the first one. You can use my example to continue.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Feel free to email if you get stuck.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "PROBLEM 1:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "We know the angle measure is 30 degrees. We want to know the number of sides of the regular polygon.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "30 = 360/n<BR>\n" );
document.write( "n = 360/30<BR>\n" );
document.write( "n = 12<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The polygon has 12 sides.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Good luck!<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );