Your data probably is quite coarse and do not support the easiest possible calculations. A dream solution would be a program that could take all you have collected and solve the composition that fulfills all measurements.
I have done it in Excel. Its solver can be programmed to find a set of coordinates which conform with measured distances and bearings. Of course exact solution couldn't be found because there were plenty of extra measurements, but I programmed Solver to search the minimum of the sum of the squares of the errors.
You need an equation for every measured quantity as calculated from assumed coordinates and then you let Solver to find those coordinates that minimize the difference between calculated and measured quantities. Minimize = find the least squares solution.
If you have to find about 160 corners forget Excel.Even 16 points is a nightmare. Do it graphically as you thought.
You can keep all in good order with layers, line styles and colors. Inkscape allows you easily to draw lines and rotate them to bearings. As well you can draw circles with wanted center and radius. You can lock parts and still new objects snap to them, if you want it.
You want to find points. They can be
- the ends of measured bearings and distances
- crossings of circles
- crossings of bearing lines
- crossings of circles and bearing lines
Graphical work allows human reasoning in case of some radically contradicting measurements, which I believe to be found. Math solver would produce only a mess or nothing.
I believe all measurements are already done, you do not want to hear anything how the measurements should have been done for easy graphical work. If I happen to be wrong, please see some practical cartography guides from the era before GPS and total stations.
The best low cost tools that I have seen for this job, are
- laser distance meter with optical aiming diopter
- rectangular prism
- precision compass for bearings
- a big notebook of paper and a pen
Total stations and GPS are today the pro tools for the job, but they are probably unreachable for non-pro projects.