Answer:
The correct option is c.
Explanation:
If the direction of rotation is not mentioned, then it is considered as counterclockwise rotation.
It is given that the figure XYZ rotated 190° and a 80° rotation(composition), both about point y.
It means figure is rotated 80° counterclockwise about the point y after that the new figure is rotated 190° counterclockwise about the point y.
![80^(\circ)+190^(\circ)=270^(\circ)](https://img.qammunity.org/2020/formulas/mathematics/college/l6ps29enxowaz2w1mnd8jva8dvwgzjztdj.png)
It means the figure XYZ rotated 270° counterclockwise about the point y.
In figure (a), XYZ rotated 90° counterclockwise about the point y.
In figure (b), XYZ rotated 180° counterclockwise about the point y.
In figure (c), XYZ rotated 270° counterclockwise about the point y.
In figure (d), XYZ rotated 360° counterclockwise about the point y.
Therefore the correct option is c.