Using the angular ruler in the measure tool will get you what you need, with no measuring or estimating.
Steps are the following:
Select the components/bodies/or faces that you want to rotate. Anchor the move tool about some rotation reference. Align the move tool handles to some geometry (the edge or face to be aligned). Select a rotation direction on the Move tool and invoke the Rotational Ruler option to measure the rotation from. Change the dimension (usually to 0)
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