I am studying gauges for measurements and I can't find the answer to what device I would use to set angles in 2 plates.
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Although a photo or diagram or more detailed description would be helpful, you may find what you seek in a machinist's protractor. There are a few different designs, including a few electronic digital models.
I have the above model, but have yet to use it for anything requiring extreme precision. It has a tendency to flex a bit even after tightening the angle lock.
This model appears often in searches and is much more accurate, according to my previous reading via a machinists' email list. Much if the discussion is that the typical home hobby machinist does not require this much precision, as these devices are rather expensive, upwards of US$300.00
Less precise and less expensive, the above type provides perhaps one-half degree accuracy, but does qualify as a possible solution to your question.
answered Sep 12, 2018 at 21:23
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$\begingroup$ What about a compound sine plate? $\endgroup$ Sep 12, 2018 at 21:58
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1$\begingroup$ A great idea with an equally great expense. It's hard to determine the application and compound sine plates have more focused use than setting angles, unless the OP states otherwise. $\endgroup$ Sep 12, 2018 at 22:12