The angle of rotation of triangle ABC to A'B'C is 105°
If a triangle is rotated around the origin by an angle θ, then the image of the triangle will also be a triangle, and its corresponding angles will be congruent to the original angles, up to a sign change.
In other words, if θ is the angle of rotation, then we have the following correspondence between the angles of the original triangle and the image triangle.
It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.
Point B is also on the x axis and point B' is in the second quadrant.
In this case, the angle that depicts the second quadrant is 105°.
In conclusion, the correct option is D.