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bearings of points to polyline

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Hi all, I am trying to find a tool in ArcGIS 10.1 that will give the bearing of points located on both sides along a polyline. The polyline is not straight. I have used a number of tools already that give me the angles but they are not consistent since the polyline is not straight. I will like to be able to give a direction to each of the points when standing at any point on the line closest to a given point. Thanks in advance for the badly needed help.

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