SOLUTION: How many degrees is the smaller angle between the hands of the clock at 4:40?

Question 551040: How many degrees is the smaller angle between the hands of the clock at 4:40?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
How many degrees is the smaller angle between the hands of the clock at 4:40?
Think of the seconds hand, pointing at the 12 when it's exactly 4:40. Think of the angles between that hand and the other hands, measured clockwise.
The minute hand has gone 40/60=2/3 of a turn from the 12:00 position. In degrees, that is
.
The hours hand has gone 4 40/60 of an hour from the 12:00 position. Since each hour is 1/12 of a turn, in degrees, that is
.
The difference is the small angle between the hour and minute hands. In degrees, it's
.
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