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Step-by-step explanation:
Hour hand completes 4 revolutions in a day, that's 360×4 = 1440° rotation in (24×60) 1440 minutes. 1440/1440 = 1° rotation in one minute.
Minute hand completes 24 revolutions in a day, that's 360×24 = 8640° rotation in 1440 minutes. 8640/1440 = 6° rotation in one minute.
3 hours and 45 minutes = 225 minutes. So hour hand rotated 225° and minute hand rotated 225×6 = 1350°.
1350/360 = 3.75 => 0.75 × 360 = 270°
270 - 225 = 45°
So after starting from twelve, the minor angle between them is 45°.
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