Final answer:
The segment '(Even though I disagreed)' is a dependent clause because it contains both a subject and a verb but cannot stand alone due to the subordinating conjunction 'Even though'.
Step-by-step explanation:
The part given, (Even though I disagreed), is a dependent clause. A clause must have a subject and a verb, and while this part does contain those, it begins with "Even though," which is a subordinating conjunction. This means that the clause cannot stand alone and it relies on an independent clause for its full meaning.
Dependent clauses are also known as subordinate clauses and they add additional information to the main clause of the sentence, but do not form a complete thought on their own.