similar means both triangles have congruent angles
I am not sure what they are thinking, but I would go with angle E is congruent to itself
but I would not bet the farm on this.

This one is too vague for me. The steps to show the triangles are similar is to
1) show both contain a 90 degree angle (they do)
2) show they both have a second angle that is equal (angle E)
3) if 2 angles are equal, so is the 3rd (they must add up to 180)
But what their choices A to D have to do with that logic is beyond me. I cannot read their teeny minds on this one.