Triangle rst has angles measuring 38° and 75°.triangle r's't' has angles measuring 67° and 38°.

The third angle of triangle RST is 180-38-75 = 67 
which is one of the given angle of the second triangle. 
So both triangles have the same angles and the sides are proportional. 
The two triangles are similar, therefore one is a dilation of the other.

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.