Allowing a pitbull (esp a pitbull but also pretty much any other dog) to run loose is a threat to persons and property in the area.
IMHO if it's threatening you, your loved ones, or your livestock, shoot it dead. Standard practice in this neck of the woods. The only person at fault is the dogs owner.
I don't let my terriers run loose, ever, because I care for their safety and the safety of my neighbors.
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