document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719464>Question 719464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441359 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=441359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?<BR>\n" );
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document.write( "Let the interior angle be 2x; Let the exterior angle be \"x\":<BR>\n" );
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document.write( "X + 2x = 180<BR>\n" );
document.write( "3x = 180<BR>\n" );
document.write( "x = 60 degrees (each exterior angle)<BR>\n" );
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document.write( "The sum of the exterior angles is 360 degrees<BR>\n" );
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document.write( "# of exterior angles = 360/60 = 6<BR>\n" );
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document.write( "# of sides = 6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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