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Response Details:
I'm just speculating, but, there are a few things to note.
1) somewhere it says to report all angles counter clockwise from the positive x axis
2) need to look at where x and y are to determine whether the direction makes sense, so on this problem
the direction is given by: 
or ------> 
Now, since x is negative, but y is positive, this angle must lie in the 3rd quadrant, and it cannot then be negative

So the angle measures approximately 57.9946 degrees from the negative x axis, that means that if you were to measure this angle from the positive x axis (as stated in (1)), you would add 90 degrees + 90-57.9946 = 122.005
or rounding this 122 degrees
hope this helps, and again, this is just me speculating, but it makes sense to me :-)
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