The component of white blood cells that contains digestive enzymes is called lysosomes.

Here's why:

* Lysosomes are membrane-bound organelles found in most animal cells, including white blood cells. They act as the "recycling center" or "garbage disposal" of the cell.

* Digestive enzymes within lysosomes break down waste materials, cellular debris, and engulfed pathogens (like bacteria or viruses).

* White blood cells use their lysosomes to fight infections and remove debris from the body. They engulf pathogens through a process called phagocytosis, then digest them using the enzymes in their lysosomes.

Let me know if you'd like to know more about lysosomes or phagocytosis!