Answer: D) 154 degrees clockwise about point A
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Explanation:
We have n = 7 sides here, so this is a heptagon.
Assuming this is a regular heptagon, then we can say that 360/n = 360/7 = 51.4285714285714 is the angle in which we can rotate the figure to have it map onto itself.
What does that mean? It means that if we were to apply this rotation, then the "before" and "after" (aka preimage and image) will be identical.
The angle value 51.4285714285714 rounds to 51, and unfortunately none of the answer choices come closer to this.
But we can scale things up. Instead of doing 1 rotation, we can do 3 rotations of 51.4285714285714 degrees each to get 3*51.4285714285714 = 154.285714285714
The value then rounds to 154 degrees. This can happen clockwise or counterclockwise.
