document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120605>Question 1120605</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A triangle ABC is inscribed in a circle, and the tangent<BR>\n" );
document.write( "to the circle at C is parallel to the bisector of angle ABC.<BR>\n" );
document.write( "a Find the magnitude of &#8736;BCX.<BR>\n" );
document.write( "b Find the magnitude of &#8736;CBD, where D is the point of<BR>\n" );
document.write( "intersection of the bisector of angle ABC with AC.<BR>\n" );
document.write( "c Find the magnitude of &#8736;ABC.\r<BR>\n" );
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document.write( "Diagram: https://i.imgur.com/pGmnqPy.png\r<BR>\n" );
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document.write( "I'm unsure what tangent theorems to apply. All i know is that angle BCX is equal to angle CBD (parallel lines).<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736343 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> arc BC is 80 degrees.<BR>\n" );
document.write( "That means angle BCX is also 40 degrees. Tangents to a circle have an angle equal to half the arc. Parallel lines with equal alternate interior angles and CBD is 40 degrees.  ABD is 40 degrees, because it is bisected. ABC is 80 degrees.<BR>\n" );
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