Final answer:
The measure of angle A' in the rotated triangle A'B'C' depends on the measure of angle A in the original triangle ABC.
Step-by-step explanation:
To find the measure of angle A', we need to consider the rotation of triangle ABC by -120°. When a shape is rotated by a certain angle, all its angles also rotate by the same angle in the opposite direction. Therefore, if angle A in triangle ABC measures x degrees, angle A' in triangle A'B'C' will measure x + (-120) degrees.
Since x is not given in the question, we cannot determine the exact measure of angle A' without more information. However, we can say that angle A' will be equal to 120° minus the measure of angle A in triangle ABC.