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Solution

At 12 noon → both hands overlap, pointing north-east. At 1:30 p.m.: The minute hand is at 6, i.e., pointing south-west (opposite to north-east). The hour hand at 1:30 lies halfway between 1 and 2 → i.e., $45° + 15° = 52.5°$ clockwise from 12. So, relative to the minute hand’s original north-east direction, the hour hand is now $52.5°$ clockwise → this points roughly toward south.