document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210523>Question 1210523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The interior angles of a polygon form an arithmetic sequence.  The difference between the largest angle and smallest angle is $148^\circ$.  If the polygon has 3 sides, then find the smallest angle, in degrees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853437 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53646)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The interior angles of a polygon form an arithmetic sequence. The difference between the largest angle <BR>\n" );
document.write( "and smallest angle is $148^\circ$. If the polygon has 3 sides, then find the smallest angle, in degrees.<BR>\n" );
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document.write( "As I read the problem, I see that it is about a triangle, whose interior angles form<BR>\n" );
document.write( "an arithmetic sequence.\r<BR>\n" );
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document.write( "Then I immediately conclude that the central angle of this AP is 60 degrees<BR>\n" );
document.write( "(since the sum of the three angles is 180 degrees).\r<BR>\n" );
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document.write( "I also conclude that the doubled common difference of the AP is 148 degrees, so <BR>\n" );
document.write( "the common difference itself is 148/2 = 74 degrees.\r<BR>\n" );
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document.write( "Having it, I immediately conclude that the problem is erroneous: it is self contradictory<BR>\n" );
document.write( "and describes a situation which NEVER may happen: it produces the interior angle of this triangle <BR>\n" );
document.write( "which has the negative measure of 60-74 = -14 degrees.\r<BR>\n" );
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document.write( "Taking everything into account, I conclude that the problem in whole is heavily defective and terminally ill.\r<BR>\n" );
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