Which of the following supply the extra cranial tissues of the head?

The external carotid arteries are primarily responsible for supplying blood to the extra cranial tissues of the head. These arteries branch off from the common carotid arteries and provide oxygenated blood to the face, neck, scalp, jaws, and various structures within the head. The external carotid arteries have several branches, including the facial, maxillary, and superficial temporal arteries, which ensure that the vital structures in the extra cranial areas receive adequate blood supply.

In contrast, the common carotid arteries serve as the main pathways for blood flow to the head and neck, dividing into the internal and external carotid arteries. The internal carotid arteries mainly supply blood to the brain and do not contribute significantly to the circulation of the extra cranial tissues. The coronary arteries, on the other hand, are responsible for supplying blood to the heart muscle itself and are not involved in head vascularization. Thus, the external carotid arteries are the correct answer, as they directly serve the extra cranial tissues.