The answer to this question is: yes they're indeed similar
Step-by-step explanation:
As you can see both triangle have 30 degrees on the bottom corner of the triangle.
Then if you look at triangle ABC, they give you angle ACB which is 65 degrees. Using the triangle sum theorem you can figure out the measure of the last angle is 85. This angle corresponds with angle FED on the smaller triangle. Then if you look at both side AC and side FD they are half each others length therefore they are similar
