document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197237>Question 1197237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P is the centre of a circle that passes through O, and O is the center of a circle that passes through P. If C = 66 degrees, then the measure of OPB is?\r<BR>\n" );
document.write( "\n" );
document.write( "Please find the diagram in the link below:<BR>\n" );
document.write( "https://ibb.co/1XKHRrr<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 #830421 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Ignore this solution. I misread the initial set up. <BR>\n" );
document.write( "<s><BR>\n" );
document.write( "Answer: <font color=red>132 degrees</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Reason:<BR>\n" );
document.write( "Angle PCB = 66 is an inscribed angle of circle P<BR>\n" );
document.write( "Use the inscribed angle theorem to find that minor arc OB is 2*66 = 132 degrees. This is the shortest measure from point O to point B along the edge of the circle.<BR>\n" );
document.write( "By definition, central angle OPB is the same measure of this minor arc because the central angle subtends the arc.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If it might help, erase circle O to avoid clutter.<BR>\n" );
document.write( "</s><BR>\n" );
document.write( "</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );