The angle between the hour hand and the minute hand of a clock at half past three is
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Angle traced by the hour hand in 12 hours = 3600.
Angle traced by the hour hand in 27 hours = (12360×27)0=1050.
Angle traced by the minute hand in 60 min = 3600.
Angle traced by the minute hand in 30 min = (60360×30)0=1800.
Angle between the two hands = (1800−1050)=750.
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