document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043143>Question 1043143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the diagram is triangle BAP, AP=AB (isoceles triangle) and from pt A, extend a line to meet PB at pt R. Angle BAR=60degr<BR>\n" );
document.write( "From pt A, extend the line from A to R to futher to ptQ.This will form another triangle BAQ, triangle ABQ is equilateral and angle PAB = 82 degr.<BR>\n" );
document.write( "Then from pt P and pt Q, further extend the 2 line to meet at the peak pt C.This will form external triangle ABC.\r<BR>\n" );
document.write( "\n" );
document.write( "Calculate,<BR>\n" );
document.write( "a) angle, ACB, pls show steps &#65288; there is Excel drawing but not able to upload here)<BR>\n" );
document.write( "b) angle PQR, pls show step </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658527 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Sorry, but the description you give of your diagram is nonsense.  If triangle BAP is isosceles with AP = AB, then the line segment AR where R lies on the segment P must perforce be the perpendicular bisector of segment PB and the bisector of angle A.  Hence, if angle BAR = 60 degrees, then PAR must be 60 degrees also and therefore angle PAB must be 120 degrees, not 82 degrees as you stated.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );