Given the diagram in the question, we are to determine whether ABC is similar to ADE.
Before we can determine this, let's know what similar triangles are.
Triangles are said to be similar the the two triangles have two pairs of sides in the same ratio and included angles are also equal.
From the above definition, we can now determine whether triangle ABC is similar to triangle ADE.
Since the two triangles have the same or equal angle, the triangles are said to be similar.
Therefore, the correct option is is option A.