The reason why trenches were formed in a zig-zag pattern is because they didn't want to make it easier for enemies to kill their people faster. It also prevented people to get shot as easily.
The Russian Empire, the French Third Republic, and the United Kingdom of Great Britain
The Treaty of Paris of 1763 ended the French and Indian War/Seven Years' War between Great Britain and France, as well as their respective allies. In the terms of the treaty, France gave up all its territories in mainland North America, effectively ending any foreign military threat to the British colonies there.