Question 1190316
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Every hour, the hour hand rotates  {{{360/12}}} = 30 degrees.


In 5 hours, the hour hand rotates 5*30 = 150 degrees.


40 minutes is  {{{2/3}}}  of an hour, so 40 minutes contribute  {{{(2/3)*30}}} degrees = 20 degrees.


Therefore, the total angle of rotation at 5:40 pm will be 5*30 + 20 = 150+20 = 170 degrees, since noon.
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Solved and explained.