The diagram shows a central angle $$\angle AOB$$. The angle 65 degrees is indicated as the measure of the arc AB.
A central angle is equal in measure to its intercepted arc.
Therefore, $$\angle AOB = \text{measure of arc } AB$$.
Given that the measure of arc AB is 65 degrees:
$$\angle AOB = 65^\circ$$.
Ответ: 65°