I want to measure the angular dimension of the line highlighted in the picture- basically its angle from x, y and z planes. How could I accomplish this?
You can create a sketch on plane that is in plane with the projected angle you want to measure. Then convert the edge to project the edge ontop that plane, then measure the angle directly. You can use the driven angle dimension in equations. Alternatively, you can insert a drawing view that is normal to the plane you want to project on, and any dimensions in that view will be projected by default.
so what you have is a model that is drawn not normal to the origin? I guess to measure what you are looking for i would start a 3d sketch and draw lines from the bottom point of the edge, and make them follow the normal X,Y,and Z axis. this would allow you to throw a driven angled dimension from each axis to your edge.
Use the measure tool, select your edge and a reference plane. Once for each plane.
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