document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209450>Question 1209450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle ABC, where |AB| = |AC|, a line CD is drawn from angle C and intersects side AB at D, such that |AD| = |CD| = |BC|. Find the measure of angle A in degrees.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848858 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=848858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from the other \"tutor\" shows another faulty AI solution....<br><BR>\n" );
document.write( "Triangle ABC is isosceles with AB = AC, so angles ABC and ACB are congruent.<br><BR>\n" );
document.write( "Let 2x = measure of angle A<BR>\n" );
document.write( "Then 90-x = measures of angles ABC and ACB<br><BR>\n" );
document.write( "Triangle ACD is isosceles with angles CAD and ACD congruent, so the measure of angle ACD is 2x.  Then, since the measure of angle ACB is 90-x, the measure of angle BCD is 90-3x.<br><BR>\n" );
document.write( "Triangle BCD is isosceles with CB = CD; since the measure of angle CBD is 90-x, the measure of angle CDB is also 90-x.<br><BR>\n" );
document.write( "Then the measures of the three angles in triangle BCD are 90-x, 90-x, and 90-3x.  The sum of those measures is 180 degrees:<br><BR>\n" );
document.write( "(90-x)+(90-x)+(90-3x) = 180<BR>\n" );
document.write( "270-5x = 180<BR>\n" );
document.write( "5x = 90<BR>\n" );
document.write( "x = 18<br><BR>\n" );
document.write( "The measure of angle A is 2x = 36 degrees.<br><BR>\n" );
document.write( "ANSWER: 36 degrees<br><BR>\n" );
document.write( "An experienced problem solver might recognize the given information as describing what happens in the interior of a regular 5-pointed star, in which the measure of each of the angles at the points of the star is 36 degrees.<br><BR>\n" );
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