Question 254248
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If the hour hand remained on the 2 for the entire hour, then the angle formed at 2:40 would be 180 degrees.  But the hour hand takes an hour to go from 2 to 3.  40 minutes is 2/3 hour, so when the minute hand points to the 8, meaning 40 minutes after the hour, the hour hand will have moved 2/3 of the way from the 2 to the 3.  Since there are 12 numbered divisions on the 360 degree clock face, the angular difference between the 2 and the 3 (or any other two adjaceent numbers) is 30 degrees.  2/3 of 30 degrees is 20 degrees.  180 degrees minus 20 degrees is 160 degrees.

John
*[tex \LARGE e^{i\pi} + 1 = 0]
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