document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208221>Question 208221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of each interior each interior angle of a regular polygon is 36 more than its adjacent exterior angle. How many sides has the polygon? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157520 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=157520\">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 36 more than its adjacent exterior angle. How many sides has the polygon? Thanks!<BR>\n" );
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document.write( "The two angles are supplementary.<BR>\n" );
document.write( "So interior = exterior + 36<BR>\n" );
document.write( "x = (180-x)+36<BR>\n" );
document.write( "x = 90+18 = 108<BR>\n" );
document.write( "Therefore the exterior angle is 180-108 = 72<BR>\n" );
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document.write( "The sum of the exterior angles is 360<BR>\n" );
document.write( "# of exterior angles is 360/72 = 5<BR>\n" );
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document.write( "So the # of sides is 5.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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