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Since the span between 12 and 2 is 2 hours, and there are 12 hours on a round analogue clock face, it stands to reason that you are essentially dividing a circle into 6 equal pieces by virtue of the 12 hours divided by the two hour span. And if there are 360 degrees in a circle, then one sixth of 360 degrees would leave you with 60 degrees. Therefore the angle between the hands at 12 and 2 O'clock is 60 degrees.

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Q: What is the angle on the clock between the hands 12 and 2?
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