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ClearAll[AngleDifference]
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AngleDifference[b1_, b2_] := Mod[b2 - b1, 360, -180]
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AngleDifference[20, 45]
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AngleDifference[-45, 45]
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AngleDifference[-85, 90]
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AngleDifference[-95, 90]
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AngleDifference[-45, 125]
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AngleDifference[-45, 145]
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AngleDifference[29.4803, -88.6381]
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AngleDifference[-78.3251, -159.036]
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AngleDifference[-70099.74233810938, 29840.67437876723]
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AngleDifference[-165313.6666297357, 33693.9894517456]
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AngleDifference[1174.8380510598456, -154146.66490124757]
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AngleDifference[60175.77306795546, 42213.07192354373]
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