document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191621>Question 1191621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measures of the interior angles of a convex octagon are 45 x°, 40x°, 155°, 120°, 155°, 38x°, 158°, and 41x°.  What is the measure of the smallest interior angle?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823403 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The measures of the interior angles of a convex octagon are 45 x°, 40x°, 155°, 120°, 155°, 38x°, 158°, and 41x°.  What is the measure of the smallest interior angle?<BR>\n" );
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document.write( "The sum of the interior angles is 6*180 = 1080 degs<BR>\n" );
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document.write( "45x + 40x + 155 + 120 + 155 + 38x + 158 + 41x = 1080<BR>\n" );
document.write( "164x + 588 = 1080<BR>\n" );
document.write( "164x = 492<BR>\n" );
document.write( "x = 3<BR>\n" );
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