The odds were against the killer.

NYPD cops flew to Las Vegas and nabbed a 29-year-old Brooklyn man wanted for the strangulation murder of a Queens transvestite who he met over the internet.

Acting on a tip, Queens detectives last Friday arrested suspect Rasheen Everett at a Las Vegas residence.

He was flown back to New York City yesterday to face charges that he killed Edelbuerto Gonzalez-Andujar, 29, who went by the name of Amanda.

Police sources said the busty victim had not undergone the final surgical procedure that would fully transform him into a woman.

She was found lying face up in bed in her ransacked apartment decorated with Marilyn Monroe poster around 3:57 p.m. on March 30.

It’s not clear what the motive for the murder was.

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