document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096896>Question 1096896</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lines AB and CD are parallel to each other. Inside the lines AB and CD, there is a point P and an angle P consisted of segment XP and segment PY (XP and PY form an acute angle). The acute angle that XP and AB form is 35 degrees. The acute angle that PY and CD form is 42 degrees. What is the measure of angle P?\r<BR>\n" );
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document.write( "Sorry if this question is a bit unclear! If it's possible, can you also tell me how to make graphs in questions? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711310 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>I have seen many students who like to solve this problem by the method shown by the other tutor.  I find it easier to see the solution by a different method, which I have also seen many students use.  Use the one which makes the most sense to you.<br><BR>\n" );
document.write( "Here is the diagram of the problem from the other tutor:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28450%2C300%2C-2%2C13%2C-1.5%2C8.5%2C%0D%0Aline%28-2%2C0%2C13%2C0%29%2Cline%28-2%2C7%2C13%2C7%29%2C%0D%0Aarrow%288%2C0%2C12%2C0%29%2Carrow%288%2C7%2C12%2C7%29%2C%0D%0Acircle%284.5%2C3.15%2C0.1%29%2Clocate%284.2%2C3.5%2CP%29%2C%0D%0Ared%28arc%2810%2C7%2C2%2C2%2C145%2C180%29%29%2Clocate%288.1%2C7.1%2Cred%2835%5Eo%29%29%2C%0D%0Ared%28arc%288%2C0%2C2%2C2%2C180%2C222%29%29%2Clocate%286.2%2C0.8%2Cred%2842%5Eo%29%29%2C%0D%0Aline%284.5%2C3.15%2C8%2C0%29%2Cline%284.5%2C3.15%2C10%2C7%29%2C%0D%0Alocate%289.8%2C7.5%2CX%29%2Clocate%287.9%2C0%2CY%29%2C%0D%0Acircle%28-1%2C0%2C0.1%29%2Ccircle%2811%2C0%2C0.1%29%2C%0D%0Acircle%28-0.3%2C7%2C0.1%29%2Ccircle%2812.5%2C7%2C0.1%29%2C%0D%0Alocate%2812.3%2C7.6%2CB%29%2Clocate%28-0.5%2C7.6%2CA%29%2C%0D%0Alocate%28-1.2%2C-0.1%2CC%29%2Clocate%2810.8%2C-0.1%2CD%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And here is what I do with the diagram to solve the problem.<br><BR>\n" );
document.write( "Draw line EF through P parallel to AB and CD.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28450%2C300%2C-2%2C13%2C-1.5%2C8.5%2C%0D%0Aline%28-2%2C0%2C13%2C0%29%2Cline%28-2%2C7%2C13%2C7%29%2C%0D%0Aarrow%288%2C0%2C12%2C0%29%2Carrow%288%2C7%2C12%2C7%29%2C%0D%0Acircle%284.5%2C3.15%2C0.1%29%2Clocate%284.2%2C3.65%2CP%29%2C%0D%0Ared%28arc%2810%2C7%2C2%2C2%2C145%2C180%29%29%2Clocate%288.1%2C7.1%2Cred%2835%5Eo%29%29%2C%0D%0Ared%28arc%288%2C0%2C2%2C2%2C180%2C222%29%29%2Clocate%286.2%2C0.8%2Cred%2842%5Eo%29%29%2C%0D%0Aline%284.5%2C3.15%2C8%2C0%29%2Cline%284.5%2C3.15%2C10%2C7%29%2C%0D%0Alocate%289.8%2C7.5%2CX%29%2Clocate%287.9%2C0%2CY%29%2C%0D%0Acircle%28-1%2C0%2C0.1%29%2Ccircle%2811%2C0%2C0.1%29%2C%0D%0Acircle%28-0.3%2C7%2C0.1%29%2Ccircle%2812.5%2C7%2C0.1%29%2C%0D%0Alocate%2812.3%2C7.6%2CB%29%2Clocate%28-0.5%2C7.6%2CA%29%2C%0D%0Alocate%28-1.2%2C-0.1%2CC%29%2Clocate%2810.8%2C-0.1%2CD%29%2C%0D%0Aline%28-1%2C3.15%2C12%2C3.15%29%2C%0D%0Alocate%281%2C3.65%2CE%29%2C%0D%0Alocate%2811%2C3.65%2CF%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now angle XPF is congruent to angle PXA, and angle YPF is congruent to angle PYC.  So the measure of angle P is just 35 degrees plus 42 degrees = 77 degrees. </SPAN>\n" );
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