document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173327>Question 1173327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In circle O, AX and BY intersect at E. If Angle BXY = 40°, Angle YBX = 55°, and intercepted arc BA = 70°. Find the measure of arc AB, arc BX, arc YZ, arc AY, arc ABX<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 #798541 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=798541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) The sum of the measures of all the arcs of the circle is 360.<br><BR>\n" );
document.write( "(2) The measure of any arc is twice the measure of the inscribed angle that cuts off that arc.<br><BR>\n" );
document.write( "(3) The sum of the measures of the angles of a triangle is 180. (Note that this follows from (1) and (2), using triangle BXY....)<br><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "(a) angle BXY = 40<BR>\n" );
document.write( "(b) angle YBX = 55<BR>\n" );
document.write( "(c) arc BA = 70<br><BR>\n" );
document.write( "To find:<br><BR>\n" );
document.write( "arc AB: given<br><BR>\n" );
document.write( "arc BX: cut off by angle BYX, whose measure can be determined from (3)<br><BR>\n" );
document.write( "arc YZ (I will assume that is supposed to be YX): cut off by given angle YBX; use (2)<br><BR>\n" );
document.write( "arc AY: Use (1); you know the measures of all the other arcs<br><BR>\n" );
document.write( "arc ABX: sum of the measures of arcs AB and BX<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );