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Yes, but you need a circuit (a PLC may be of help) to convert the potentiometer output (say 0 V to Vmax) into angles.

A conventional potentiometer (linear) powered by a constant voltage power supply will work for angles from 0 to 90 degrees, since the voltage you get will be proportional to the angle sinus, starting from zero up to Vmax @ 90 degrees.

For angles from 0 to 180 degrees (or -90... 0... +90 degrees) it will be easier with two power supplies connected in series taking the middle point as zero (Volts). Positive voltages from the potentiometer cursor against zero will be obtained for positive angles and negative voltages for negative angles, but you might need a 360 degrees or multiturn potentiometer. There is the basic idea, the rest is yours...

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Q: Can a potentiometer detect angle
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