Loading images to be called by the data of a value

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Your best bet here would be to create a 360 element array, and store each rotation in an element of the array. I don't believe you can't convert strings to variable names, but I could be wrong. Also, in the code above, you're for loop should go from 1 to 360 or 0 to 359... angles 0 and 360 are the same.
This is what I would do:
Dim myimagerotated(360)
myimage=LoadImage("myimage.bmp")
tmpimage=CopyImage(myimage)

myimagerotated(0)=myimage
For x=1 to 359
  myimagerotated(x) =RotateImage(tmpimage,x+1)
Next

Drawimage myimagerotated(55),0,0


Thats just something I whipped up, so if there's an error I apologize. But you get the idea.