What artery supplies blood to the brain, eyelids, eyes, forehead, nose, and internal ear?

The internal carotid artery is the correct choice as it plays a crucial role in supplying blood to vital structures in the head and neck, particularly the brain. After entering the skull, the internal carotid artery branches into several important arteries that nourish various regions.

Specifically, the internal carotid artery primarily supplies blood to the anterior circulation of the brain and also provides blood to vital areas such as the eyes and forehead through its branches. The ophthalmic artery, a branch of the internal carotid, directly supplies the eyes and parts of the forehead and nose. This makes it essential for operations related to vision and brain function.

In contrast, the common carotid artery bifurcates into the internal and external carotid arteries; it does not supply blood directly to the regions mentioned in the question. The external carotid artery mainly supplies the face, neck, and other superficial areas, while the vertebral artery supplies the posterior circulation of the brain. Thus, the internal carotid artery is the artery specifically responsible for the blood flow to the brain, eyelids, eyes, forehead, nose, and internal ear.