An angle in standard position intersects the unit circle at the point. (-1/2 , sqrt3 /2)

Which set of information about this angle does this point give you?

The point (-1/2 , sqrt3 /2) on the unit circle corresponds to a reference angle of 60 degrees or π/3 radians. This information tells us that the angle in standard position is either 60 degrees or π/3 radians, and that it lies in the second quadrant.