Strangely
Part of speech: adverb
Definition: In a strange or coincidental manner.
Example sentence: I get strangely obsessed about the cleanliness of my house.
Oddly
Part of speech: adjective
Definition: In an odd manner; unevenly.In a peculiar manner; strangely; queerly; curiously.In a manner measured by an odd number.
Example sentence: Trying to overcome addiction is one of the hardest things for a person to do. And the fact that I had to do it under the scrutiny of tabloid press at first made it seem even more difficult. But in fact, it oddly ended up being a plus. Because of the tabloid stuff, it wasn't like I could walk into a bar and order a drink.