Answer
According to the Angle-Angle (AA) Similarity Postulate, $\triangle DGH$ ~ $\triangle DEF$
Work Step by Step
Angle-Angle (AA) Similarity Postulate: If two angles of a triangle are congruent to two angles of another triangle, then the two triangles are similar.
$\angle DGH \cong \angle DEF$
We can see that $\angle GDH$ and $\angle EDF$ are the same angle.
Therefore two angles in the triangles are congruent.
According to the Angle-Angle (AA) Similarity Postulate, $\triangle DGH$ ~ $\triangle DEF$
