Some areas have NO laws regarding loose dogs, some have some great laws preventing instances like yours.

If its in there killing YOUR livestock, it can be shot on site, especially in the act.

Here is an example:
In the small town my mom lives in, they are having probs with dogs that people are just too lazy to deal with & let run loose. Plus people from all over use this place to "dump" dogs. There was a lady in town that raised chickens & sold eggs from them, she ALSO had 3 goats about to have babies. The babies were promised to the school for Ag projects, the deal was made through the school. Mind you she had a TALL, sturdy, new wood fence around to keep things out & her animals in. 2 loose pit bull dogs dug for a long time & got UNDER the fence & killed all the animals. These are the same dogs that came through my moms yard, cornered her cats & killed them weeks before. The dogs were "collected & held" & the owner fined(if they can contact him). They are JUST NOW trying to implement a loose dog/dangerous dog law for that town & hire someone to round up the dogs, make citations & reports.

Its sad that it has to come to animals already running loose & killing stuff, for something to be done. Use the "SSS" & dont worry about it.

I HATE shooting dogs but I do it.