I wonder where you got that scan from. It does not look as if a surveyor drew it, but someone who knows nothing about surveying.

To start with, you would have to have the coordinates of two points. Usually, one measures the angle at point 2, by looking at point 1 first, zeroing the angle and then looking at point 3 next. Angles on a theodolite usually are graduated in a clockwise direction, but the angles on your diagram seem to be anticlockwise angles at each point. How very contrary.

But you have to know either the whole circle bearing of the first leg, or the coordinates of two points.

You could always take a guess at the first bearing, and then the diagram would be relative to that.

You have not got enough information.

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