Final answer:
The sentence is a complex sentence with one independent clause and one subordinate clause.
Step-by-step explanation:
The sentence “The anticipation of meeting the bag boy eased the girl's painful transition to her new home” is a complex sentence. A complex sentence consists of one independent clause (a clause that can stand alone as a sentence) and at least one subordinate clause (a clause that cannot stand alone as a sentence). In this case, the main clause is “The anticipation of meeting the bag boy eased the girl's painful transition to her new home” and it is joined by the subordinate clause “of meeting the bag boy.”