Octopuses are very intelligent creatures. They are able to learn from their mistakes and they are able to solve problems. This means that they are able to figure out how to avoid getting tangled up in their own arms.
Octopuses are also very flexible creatures. They can bend and twist their arms in all sorts of different ways. This means that they are able to reach around obstacles and they are able to get themselves out of tight spaces.
In addition to their intelligence and their flexibility, octopuses also have a special kind of skin. This skin is very slippery, which means that it is difficult for things to stick to it. This helps to prevent the octopus from getting tangled up in its own arms.
So, octopuses are able to avoid getting tangled up in their own arms by using their intelligence, their flexibility, and their special kind of skin.