document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044879>Question 1044879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the measure of an interior angle of a regular polygon is greater than 150°, what is the least number of sides it can have?<BR>\n" );
document.write( "A) 10 B) 11 C) 12 D) 13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660286 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how much greater than 150?<BR>\n" );
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document.write( "Here is assuming that your polygon's interior angle IS 150:<BR>\n" );
document.write( "The exterior angle of a polygon + its corresponding interior angle always add up to 180° (because if you put them together you get a straight line)<BR>\n" );
document.write( "(180(n - 2)/n = 150<BR>\n" );
document.write( "180n - 360 = 150n<BR>\n" );
document.write( "180n - 150n = 360<BR>\n" );
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document.write( "30n = 360<BR>\n" );
document.write( "n = 360/30<BR>\n" );
document.write( "n = 12 Your polygon would have 12 sides.<BR>\n" );
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document.write( "And if your angle is greater than 150? Well, the sum of the interior angles of any polygon increase by 180 with every additional side. <BR>\n" );
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document.write( "Oh, and in case you'd like to know, a 12-sided polygon is called a dodecagon<BR>\n" );
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document.write( "John </SPAN>\n" );
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