Truth Riddles

Ask one of the sisters which path their sister would tell you to take. Let’s say the left hand path is the correct one to follow. The sister that lies knows their truthful sister would tell you the left hand path, so as they always lie they will tell you the right hand path. The honest sister knows their lying sister will tell you the right hand path and because they’re honest, they will tell you this. So you should follow the opposite path to that which you are told, regardless of which sister tells you.

"You will hang me." Since they cannot hang him - that will make him true and they can only hang him for a lie, and they cannot shoot him - they would mean he told the truth but if they shoot him it's a lie - he is free to go.