Given :
A pre-image arrow pointing east is rotated 135° clockwise.
To Find :
In which direction is the image arrow point.
Solution :
90° clockwise shift make it south.
Now, remaining angle for rotation ( 135 - 90 )° = 45°.
So, direction of moving 45° more clockwise makes it 45° west of south or 45° south of west.
Hence, this is the required solution.