the angle made by the minute hand in 40 minutes is
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We start from the minute hand. At 40 minutes past any hour, the minute hand will be at 8 or 8*30 = 240 degrees from 12 o'clock. At 4:40, the hour hand will be between 4 and 5 making an angle of 4*30 +30*40/60 = 120 + 20 = 140 degrees from 12 o'clock.
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