The shooting happened around 9 p.m. at 217 Oak Crest Drive in Manvel, the Brazoria County Sheriff's Office said.
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Officials said it started with a call about a man and a woman fighting over a gun. When deputies arrived, the man reportedly still had the firearm.
Deputies ordered the man to put the gun down, but he refused, the sheriff's office said.
Deputies first used a Taser on the man, but then he opened fire, officials said.
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"All four deputies did return fire, striking the subject multiple times. The subject was flown to a Houston-area hospital," Chief Deputy Ian Patin said.
At last check, the suspect's condition was unknown.
The four deputies involved were placed on administrative leave while the Texas Rangers investigate.