document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392784>Question 392784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of each interior angle of a regular polygon is 20 degrees more than 3 times the measure of each exterior angle.  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 #278830 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=278830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measure of each interior angle of a regular polygon is 20 degrees more than 3 times the measure of each exterior angle. How many sides does the polygon have?<BR>\n" );
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document.write( "Let the exterior angle be \"x\"<BR>\n" );
document.write( "Then the interior angle is \"3x+20\"<BR>\n" );
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document.write( "These angles are supplementary:<BR>\n" );
document.write( "x + 3x+20 = 180<BR>\n" );
document.write( "4x = 160<BR>\n" );
document.write( "x = 40 (size of each exterior angle)<BR>\n" );
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document.write( "The sum of the exterior angles is 360.<BR>\n" );
document.write( "# of exterior angles = 360/40 = 9<BR>\n" );
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document.write( "# of sides is 9.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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