Answer: A. 90°
Explanation:
From the given picture, we can see that the measure of ∠ABC=90°.
Given that Angle ABC is rotated 50° around point D .
We know that a rotation is a rigid transformation that produces an image of a geometric figure with same shape and size by rotating about the the center of rotation.
It preserves the shape and angle inside the figure.
Therefore, ∠A'B'C'=∠ABC=90°.