Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Answer:
Option D is correct.
[tex]\triangle ADE \sim \triangle ABC[/tex]
Step-by-step explanation:
In triangle ADE and triangle ABC
From the figure:
[tex]\angle ADE = \angle ABE[/tex] [Angle] [Given]
[tex]\angle DAE = \angle BAC[/tex] [Angle]
AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.
By AA similarity:
⇒[tex]\triangle ADE \sim \triangle ABC[/tex]