Determine whether the triangles are similar. if so, what is the similarity statement and the postulate or theorem used?

To determine the similarity of the triangles, we shall use the proportionality of the corresponding sides:
DH/DE=DG/DF
thus
30/24=40/32
5/4=5/4
since the triangle shares the same angle ∠D, then we can conclude that the triangles are similar by side angle side (SAS) postulate

Yes of course i will indeed you with your problem.

The answer is option c.