Final answer:
The angle that is not central or inscribed when given an arc angle in a circle is the exterior angle.
Step-by-step explanation:
The angle that is not central or inscribed when given an arc angle in a circle is the exterior angle. A central angle is an angle whose vertex is at the center of the circle, and an inscribed angle is an angle whose vertex lies on the circle. The exterior angle is formed by extending one side of an inscribed angle to a point outside the circle.