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Answer:
b. -75°
Step-by-step explanation:
Point A moves from (-4, -3) to (-4, 3). We can find the angle of rotation several ways. One is to consider the tangent of the angle relative to the x-axis.
Point A is on a line that makes an angle to the x-axis of ...
∠A = arctan(-3/-4) = 36.9°
Point A' is on a line that makes an angle to the x-axis of ...
∠A' = arctan(3/-4) = -36.9°
Then the change in angle is ...
∠A' -∠A = -36.9° -36.9° = -73.8°
The closest answer choice is ...
b. -75°
