document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111236>Question 1111236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I've been working on this question for a few days but I don't think I understand what they mean... Can someone please help me understand the steps to solve this problem? The link leads to the question\r<BR>\n" );
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document.write( "https://docs.google.com/document/d/1MTDEdNJazocnHEmBvYzJDl-8yjM-Wpn74E0itR0N0JY/edit?usp=sharing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726246 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=726246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it's very difficult to explain because the diagram could have been more helpful.\r<BR>\n" );
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document.write( "what i get is:\r<BR>\n" );
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document.write( "yes, the slata going in the same direction are parallel to each other.\r<BR>\n" );
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document.write( "angle A is a vertical angle with a 50 degree angle, therefore it is also 50 degrees.\r<BR>\n" );
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document.write( "angle B is part of parallelogram PQRS (my nomenclature) and is adjacent angle to angle PQR which is 80 degrees because it is a vertical angle with the 80 degree angle shown.\r<BR>\n" );
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document.write( "since angle PQR is adjacent to angle PQR, then it is supplementary to it and is therefore 100 degrees.\r<BR>\n" );
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document.write( "angle PQR is the angle B that was given in the original diagram.\r<BR>\n" );
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document.write( "angle PSR is part of parallelogram PQRS and is opposite the 80 degree angle PQR and is therefore 80 degrees as well because opposite angles of a parallelogram are congruent.\r<BR>\n" );
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document.write( "angle C is vertical to angle PSR and is therefore also 80 degrees.\r<BR>\n" );
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document.write( "my answers:\r<BR>\n" );
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document.write( "angle A is 50 degrees.<BR>\n" );
document.write( "angle B is 100 degrees.<BR>\n" );
document.write( "angle C is 80 degrees.\r<BR>\n" );
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document.write( "here's my diagram of the diagram you were given.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/030402.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "in this diagram:\r<BR>\n" );
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document.write( "lines x, y, and z are all horitonztal lines and therefore parallel to each other.\r<BR>\n" );
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document.write( "lines DG and EF are parallel to each other since they are on oppositie sides of the slat.\r<BR>\n" );
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document.write( "lines HK and IJ are paralell to each other since they are on opposite sides of the same slat. \r<BR>\n" );
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document.write( "PQRS is a parallelogram because opposite sides of it are parallel to each other.\r<BR>\n" );
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document.write( "angle PQR is 80 degrees because it is vertical angle to the 80 degree angle shown.\r<BR>\n" );
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document.write( "angle PSR is also 80 degrees because opposite angles of a parallelogram are congruent.\r<BR>\n" );
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document.write( "angle SPQ is 100 degrees because it is an adjacent angle to the 80 degree angles of the parallelogram and adjacent angles of a parallelogram are supplementary.\r<BR>\n" );
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document.write( "angle SRQ is also 100 degrees because it is opposite to angle SPQ and opposite angles of a parallelogram are congruent.\r<BR>\n" );
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document.write( "angle C is 80 degrees because it is a vertical angle to angle PSR which is 80 degrees.\r<BR>\n" );
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document.write( "that should be it.\r<BR>\n" );
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document.write( "there are other relationships formed from the diagram but they are unnecessary to provide you with the answer you seek.\r<BR>\n" );
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