The Angle-Angle Similarity postulate says <span>that two triangles are similar if they have two corresponding angles that are equal in measure ... two angles in one triangle equal to two angles in the OTHER triangle.
Every isosceles triangle has two angles that are equal to each other. But that doesn't tell you how those angles compare to the angles of a DIFFERENT isosceles triangle.
If you pick two isosceles triangles, there's practically a zero chance that the two equal angles in one triangle have the same measure as the two equal angles in the other triangle. So the </span><span>Angle-Angle Similarity Postulate doesn't apply to them.</span>
