This structure has dense irregular connective tissue

The correct option is Skin.

To understand why this is the correct answer, let's break down the tissue structure of the options provided:
1. Dense irregular connective tissue is characterized by a high concentration of collagen fibers that are randomly arranged in a multi-directional meshwork. This structural arrangement allows the tissue to resist pulling forces and tension from many different directions.
2. The dermis layer of the skin (specifically the reticular layer) is primarily composed of dense irregular connective tissue. This allows the skin to stretch and withstand multi-directional stress without tearing.
3. In contrast, tendons and ligaments consist of dense regular connective tissue, where collagen fibers run parallel to each other to resist forces along a single axis of tension.
4. Cartilage is a specialized supportive connective tissue with a solid, rubbery matrix rather than a dense irregular fibrous network.

Therefore, among the choices, the skin is the structure that contains dense irregular connective tissue.