document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126611>Question 126611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each of the equal angles of an isosceles triangle measures 25 degree less than twice the vertex angle. Find the measure of the vertex angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92771 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the vertex angle is x, then the equal angles must be 2x - 25.  The sum of the interior angles of any triangle is 180 degrees, so:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-25%29%2B%282x-25%29%2Bx=180 ALIGN=MIDDLE  ALT=\"%282x-25%29%2B%282x-25%29%2Bx=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Collect terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-50=180 ALIGN=MIDDLE  ALT=\"5x-50=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=230 ALIGN=MIDDLE  ALT=\"5x=230\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=46 ALIGN=MIDDLE  ALT=\"x=46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, the vertex angle is 46.  Twice the vertex angle is 92.  25 less than that is 67, so the equal angles measure 67.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "46 + 67 + 67 =  180.  Check. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );