Oxygen starved tissues can release chemical signals into the blood that can change the diameter of nearby blood vessels delivering oxygen and nutrients to the tissues. In doing so the blood vessels will respond through vasodilation (widening of the vessel). Which muscle type is responsible for this vasodilation

Smooth Muscles

Explanation:

Smooth muscle cells are commonly found attached to or embedded in soft tissues. Sometimes just single smooth muscle cells wrap around the lumen at a particular place of such tubular structures as arterioles, bronchioles, or gland ducts, and their contraction constricts the passage Otherwise smooth muscle's motion can act to propel material along a passage (as in the digestive tract) or into one. Smooth muscle contraction varies between medium and slow speed, and doesn't get up to the speeds that skeletal or cardiac muscle is capable of, but frequently sustains contraction for long periodsHence, the right answer is "smooth muscle is responsible for this vasodilation"