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In a clock with 12 hour readings, at 6:30 am the minute hand would be directly on 6 and the hour hand would be mid way between 6 and 7. Between any two markings on this clock the angle is 360/12 = 30 degrees. Since minute hand is precisely on 6 and hour hand is exactly half way between 6 and 7, the angle between them at 6:30 am is 30/2 = 15 degrees

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