Answer:
Which gave its name to damask cloth.
Explanation:
Subordinate clauses are those words or groups of words that have no independent ability to stand on their own. They have to depend on their corresponding sentences to be fully deemed meaningful and have a full and complete sentence. They also have to depend on independent clauses for their correct usage and understanding.
In the following given sentence, the dependent clause will be the word which adds to the meaning of the sentence, providing more details to it. Dependent clauses are mostly used as a means of giving more details/ information about what was talked about, making the sentence more clear. Thus, the dependent clause in the given sentence is "which gave its name to damask cloth". This clause/ phrase can be removed from the sentence, but makes no damage to how the sentence will look like. But with the addition of this clause, the meaning of the sentence seems more detailed and gave more life to the whole sentence.
The sentence can well function without the clause, with only the independent clause in effect-
Damascus is the capital of Syria.
But, with the addition of the dependent clause, the sentence becomes more specific and detailed.
Thus, the dependent clause is "which gives its name to damask cloth".
