General:
* Deceive
* Mislead
* Betray (implies a breach of trust)
* Hoodwink (informal, implies trickery)
* Con
* Fool
* Dupe
More formal:
* Misrepresent
* Fabricate
* Prevaricate (implies evasive or roundabout statements)
* Equivocate (implies using ambiguous language to avoid giving a direct answer)
Informal:
* B.S. (slang for "bullshit")
* Spin (implies twisting the truth)
* Fib (implies a small lie)
* Tell a tall tale (implies a fantastical story)
The best synonym will depend on the specific situation. Consider the tone and formality of the context, as well as the intent behind the lie.