Nancy H. answered 10/15/15
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The subject of this sentence is the compound noun "cooking skills." The word "good" describes, or modifies, the cooking skills; "good" is therefore an adjective because it modifies a noun. So what does "unusually" do in the sentence? Ask yourself, what does "unusually" tell me more about? In this case, it tells me more about "good"; it says that the skills aren't just good; they are unusually good. We have already established that "good" is an adjective. Therefore, the adverb "unusually" modifies an adjective.