Why are distances from references lines measure in angles?

Why are distances from references lines measure in angles?
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The angle is the name of the difference in direction between 1 line & another radiating from the same point. The measurement is in degrees. ( 360 degrees in a circle) Or the measurement may be meaured in Mils (6400 mils = a circle) 1 mil is the difference in distance (1 metre) in the circumferance of a circle 1 Km from the centre. The Royal Navy at one time used, I think, 32 points of the compass, NNW, ESE, 10 points to Starboard, Mr Christian ! etc. The angle, therefore, is the measurement of this difference in direction.
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