document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935959>Question 935959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In quadrilateral NOPQ, < POQ =70 and < PQN = 135. Find < ONQ<BR>\n" );
document.write( "Drawing looks like a kite with diagonals drawn but nothing in the problem claims it's a kite or parallelogram or anything but quadrilateral. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569359 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quadrilateral is a four sided polygon; so, it can be a parallelogram (2 pairs of parallel sides), a square (2 pairs of parallel sides), rectangle(2 pairs of parallel sides) , rhombus (2 pairs of parallel sides), trapezoid (1 pair of parallel sides) , kite (no parallel sides).\r<BR>\n" );
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document.write( "so, if looks like a kite, then IS kite\r<BR>\n" );
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document.write( "A kite is a quadrilateral with two pairs of adjacent, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=congruent ALIGN=MIDDLE  ALT=\"congruent\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides.<BR>\n" );
document.write( "The angles between the congruent sides are called vertex angles . The other angles are called non-vertex angles .<BR>\n" );
document.write( "The opposite angles at the endpoints of the cross diagonal are congruent.\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "NOPQ, < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=POQ+=70 ALIGN=MIDDLE  ALT=\"POQ+=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > and < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQN+=+135 ALIGN=MIDDLE  ALT=\"PQN+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "if < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQN+=+135 ALIGN=MIDDLE  ALT=\"PQN+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" > then < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=NOP+=+135 ALIGN=MIDDLE  ALT=\"NOP+=+135\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the opposite angles at the endpoints of the cross diagonal\r<BR>\n" );
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document.write( "so, < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ONQ ALIGN=MIDDLE  ALT=\"ONQ\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= DISABLED_event_ONQ= 360-%28135%2B135%2B70%29 ALIGN=MIDDLE  ALT=\" DISABLED_event_ONQ= 360-%28135%2B135%2B70%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= DISABLED_event_ONQ= 360-340 ALIGN=MIDDLE  ALT=\" DISABLED_event_ONQ= 360-340\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= DISABLED_event_ONQ= 20 ALIGN=MIDDLE  ALT=\" DISABLED_event_ONQ= 20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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