Answer: (5,2)
Step-by-step explanation:
We know that the rule for rotation of 180° is given by :-

From the given figure , it can be seen that the coordinates of point C is (-5, -2).
If pentagon ABCDE is rotated 180° around the origin to create pentagon A’B’C’D’E’,then the ordered pair of point C’ is given by :-

Hence, the ordered pair of point C’ =(5,2)