Final answer:
Igneous intrusions and faults are two examples of events that cut across rock layers.
Step-by-step explanation:
Two examples of events that cut across rock layers are igneous intrusions and faults. An igneous intrusion occurs when molten rock, such as magma, pushes its way into existing rock layers and solidifies. This intrusion cuts across the surrounding rock layers and is therefore younger than the rocks it cuts through. A fault is a fracture in the Earth's crust where movement has occurred. When a fault cuts across rock layers, the fault is younger than the rocks it cuts through.