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0 degrees. No -- this is a trick question. At 6:00 the hands are at 180 degrees, but by the time the minute hand has moved to 30 minutes the hour hand has moved on to half way between '6' and '7', so the angle between the hands is 360/24 degrees = 15 degrees.

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Q: What is the Degree angle of a 6 30 wall clock?
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