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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.

digital protractor

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.

protractor 320

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

simple protractor

Less precise and less expensive, the above type provides perhaps one-half degree accuracy, but does qualify as a possible solution to your question.

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  • $\begingroup$ What about a compound sine plate? $\endgroup$ – Daniel L. VanDenBosch Sep 12 '18 at 21:58
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    $\begingroup$ 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. $\endgroup$ – fred_dot_u Sep 12 '18 at 22:12

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