In circle O, ∠AOB intercepts an arc whose measure is 50°. What is the measure of ∠AOB?

Angle AOB = 50 Deg.

To find the measure of ∠AOB, we need to use the relationship between angles and arcs in a circle.

In a circle, the measure of an angle formed by two radii is equal to half the measure of the intercepted arc.

So, in this case, if the intercepted arc measures 50°, ∠AOB is half of that.

∠AOB = 50° / 2 = 25°

Therefore, the measure of ∠AOB is 25°.