Isosceles Triangle: a triangle with at least 2 equal sides and 2 equal angles
Base angles: the congruent angles of an isosceles triangle
Vertex angle: the third angle of an isosceles triangle formed by the legs, not congruent with the other two (unless its an equilateral triangle)
Legs: the two congruent sides of an isosceles triangle; opposite the base angles
Base: the third side of an isosceles triangle; forms base angles with the legs
This video explains isosceles triangles and how to find their angles.