<PRE><B>Question 126611</B>
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:


{{{(2x-25)+(2x-25)+x=180}}}


Collect terms:
{{{5x-50=180}}}
{{{5x=230}}}
{{{x=46}}}


So, the vertex angle is 46.  Twice the vertex angle is 92.  25 less than that is 67, so the equal angles measure 67.


Check:
46 + 67 + 67 =  180.  Check.</PRE>