It is an Adverb. The giveaway is the syllable -ly at the end. Remove it, and you get dangerous - the adjective. Not all adverbs end in -ly, but most do.
The test is, can you put it in a sentence with a noun, or does that sound wrong?
So (dog is a noun)
The angry dog was dangerous.
OR
The angry dog was dangerously.
Which one sounds better? If it goes with a noun, it's an adjective.
If it goes with a verb, it's an adverb.
So (waved is a verb)
He waved the gun dangerous.
OR
He waved the gun dangerously.
Which one works?
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An adverb describes a verb, an adjective or another adverb.
The word small can be an adjective or an adverb.
Approximate is an adjective, approximately is an adverb.
Persistence is not an adjective or an adverb. It's a noun.
Constantly is an adverb. Constant is an adjective.