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It appears the unit precision for measuring angles is rounding to the nearest degree. Can the precision be set to 1 or more decimal points?
Not sure if you've already found this solution, but the setting is under the 'Format' drop-down menu.
Select 'Units' and then 'Units...'
Here you will see your angular precision is set to '0'. This can be changed to whatever precision you require, together with the actual angular unit you wish to use, direction of the angle calculation etc.
Hope this helps.