document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173345>Question 1173345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a circle O, AX and BY intersect at E. If angle BXY = 40°, angle YBX = 55°, and arc BA = 70°, find the measure of angle BAX, angle XEY, angle XAY, angle AXB, angle AXY, and angle YBX </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798751 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=798751\">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 the arcs of a circle is 360 degrees.<BR>\n" );
document.write( "(2) The sum of the measures of the angles of a triangle is 180 degrees.<BR>\n" );
document.write( "(3) The measure of an angle inscribed in a circle is half the measure of the intercepted arc.<BR>\n" );
document.write( "(4) The measure of an angle formed by two chords of a circle is the average of the measures of the two arcs intercepted by the chords.<br><BR>\n" );
document.write( "The measures of angles YBX and BXY are given; use (2) to find the measure of angle BYX.<br><BR>\n" );
document.write( "Use (3) and the given measure of arc AB to find the measures of all the arcs of the circle.<br><BR>\n" );
document.write( "Then....<br><BR>\n" );
document.write( "angle BAX: (3) with arc BX<BR>\n" );
document.write( "angle XEY: (4), with arcs AB and XY<BR>\n" );
document.write( "angle XAY: (3), with arc XY<BR>\n" );
document.write( "angle AXB: (3), with (given) arc AB<BR>\n" );
document.write( "angle AXY: (3), with arc AY<BR>\n" );
document.write( "angle YBX: (given)<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );