With the Scissors tool , you can split an open path into two separate paths, or split a closed path to make it an open path.
To split a path
In the Toolbox, select the Scissors tool, or press C.
Click anywhere on the path where you want a split.
B-spline paths are automatically converted to Bezier paths when you split them.
You can also split a path by selecting one or more anchor points along the path and pressing DELETE. This removes the nodes and their adjacent segments.