document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=555346>Question 555346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me figure what quadrilateral I have when the given angle measures are <BR>\n" );
document.write( "2x , 7x , 9x-40 , x+20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361756 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=361756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All four angles add to 360, so 2x+7x+9x-40+x+20 = 360, solve for x to get:\r<BR>\n" );
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document.write( "2x+7x+9x-40+x+20=360\r<BR>\n" );
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document.write( "19x-20=360\r<BR>\n" );
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document.write( "19x=360+20\r<BR>\n" );
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document.write( "19x=380\r<BR>\n" );
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document.write( "x=(380)/(19)\r<BR>\n" );
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document.write( "x=20\r<BR>\n" );
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document.write( "Now plug this into each angle expression:\r<BR>\n" );
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document.write( "2x = 2(20) = 40\r<BR>\n" );
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document.write( "7x = 7(20) = 140\r<BR>\n" );
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document.write( "9x-40 = 9(20)-40 = 180-40 = 140\r<BR>\n" );
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document.write( "x+20 = 20+20 = 40\r<BR>\n" );
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document.write( "So the four angles are: 40, 140, 140, 40\r<BR>\n" );
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document.write( "This means that we have 2 pairs of equal angles which are opposite. This means we have a parallelogram.\r<BR>\n" );
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document.write( "Jim</font></b><BR>\n" );
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