document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564508>Question 564508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of the interior angles of a polygon Is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the 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 #365377 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=365377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the measures of the interior angles of a polygon Is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have?<BR>\n" );
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document.write( "The sum of the exterior angles is ALWAYS 360 degrees.<BR>\n" );
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document.write( "So, sum of the interior angles is 5*360 = 1800 degrees.<BR>\n" );
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document.write( "Let n be the number of sides:<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(n-2)180 = 1800<BR>\n" );
document.write( "n-2 = 10<BR>\n" );
document.write( "n = 12 sides<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================== </SPAN>\n" );
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