document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210478>Question 1210478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let XYZ be a triangle, and let XP, XQ, XR be the altitude, angle bisector, and median from X, respectively.  If angle YQZ = 90^\circ and angle ZQX = 22^\circ, then what is the measure of angle RZP in degrees?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852847 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53299)</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=852847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Let XYZ be a triangle, and let XP, XQ, XR be the altitude, angle bisector, and median from X, respectively. <BR>\n" );
document.write( "If angle YQZ = 90^\circ and angle ZQX = 22^\circ, then what is the measure of angle RZP in degrees?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The problem is posed incorrectly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Indeed, it says (states) that angle YQZ is 90 degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But it is impossible, since the point Q lies on the side YZ, because Q is the base of the <BR>\n" );
document.write( "angle bisector XQ, issued from vertex X opposite to side YZ of the triangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, again, the problem is posed incorrectly, is self-contradictory  <BR>\n" );
document.write( "and describes the situation which never may happen.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What is written further in the post by @CPhill as a solution, <BR>\n" );
document.write( "it does not matter, because it is non-sensical gibberish.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "**************************************************<BR>\n" );
document.write( "<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The problem is refuted.</H3><BR>\n" );
document.write( "**************************************************\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );