Answer: The answer is ∠L in the pre-image corresponds to ∠A in the image.
Step-by-step explanation: Give that the figure LMNOP is rotated about a point F at an angle of 180° to form the figure ABCDE.
We are to find the angle in the pre-image that corresponds to ∠A in the image.
The point about which the figure is rotated, F lies in between the two figures, pre-image and the image.
So, after 180° rotation, the corresponding angles of both the figures will be
∠L corresponds to ∠A,
∠M corresponds to ∠B,
∠N corresponds to ∠C,
∠O corresponds to ∠D,
∠P corresponds to ∠E.
Thus, the answer is ∠L in the pre-image corresponds to ∠A in the image.