document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995118>Question 995118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up a system to solve. Two angles are supplementary. Twice one angle is equal to the other angle minus 36. Find the two angles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854459 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53878)</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=854459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Set up a system to solve. Two angles are supplementary. Twice one angle is equal to the other angle minus 36. <BR>\n" );
document.write( "Find the two angles?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution in the post by @lwsshak3 is incorrect: it does not satisfy the problem's conditions.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The cause is a calculation error in his post.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "let x be one of the angles<BR>\n" );
document.write( "180-x = other angle<BR>\n" );
document.write( "2(180-x) = x-36<BR>\n" );
document.write( "360-2x = x-36<BR>\n" );
document.write( "396 = 3x<BR>\n" );
document.write( "x = 396/3 = 132<BR>\n" );
document.write( "180-x = 180 - 132 = 48<BR>\n" );
document.write( "one of the angles is 132 degrees.<BR>\n" );
document.write( "other angle = 48 degrees.\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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document.write( "I systematically checked about one hundred solutions by @lwsshak3,<BR>\n" );
document.write( "I think I discovered his method and his secret methodology (at least for myself).\r<BR>\n" );
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document.write( "I suspect that @lwsshak3 uses a computer code for solving most of his problems.\r<BR>\n" );
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document.write( "I made this my conclusion by noticing that many of his solutions <BR>\n" );
document.write( "that relate to the same topic are copies of each others by wording and by construction. <BR>\n" );
document.write( "Also, one can see that human emotions absent in his posts.\r<BR>\n" );
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document.write( "So, again, similar to @mananth, @lwsshak3 is  an early version of the Artificial Intelligence.\r<BR>\n" );
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document.write( "I do not state that all solutions by @lwsshak3 are produced by a computer code,<BR>\n" );
document.write( "but many of them (80% or 90%) are.\r<BR>\n" );
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document.write( "I even see that many of incoming problems, solved by @lwsshak3, were specially created <BR>\n" );
document.write( "to be solved via that computer code with two major goals:\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(a) to train the code; \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(b) to create an impression that the code is ideal and universal. \r<BR>\n" );
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document.write( "When incoming problems fit to the computer code, the solutions are perfect.<BR>\n" );
document.write( "In other cases, there are errors and mistakes. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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