Final answer:
Pseudostratified columnar epithelium is the tissue with a single layer of irregularly shaped cells containing goblet cells and cilia, often found in the upper respiratory tract and certain glands' ducts.
Step-by-step explanation:
The type of tissue with a single layer of irregularly shaped cells containing goblet cells and cilia is known as pseudostratified columnar epithelium. This epithelial tissue creates the illusion of being stratified due to the arrangement of nuclei at different levels within the single layer of cells, but it is, in fact, a simple epithelium because all cells rest on the basal lamina. Commonly found in the ducts of certain glands and the upper respiratory tract, this tissue features goblet cells that secrete mucus to trap irritants and cilia on the apical surface of the cells to help move mucus and trapped particles out of the respiratory tract, thus providing protection.