find the angle between the hands of a clock at 8 o clock
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Explanation: At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. That is, the hands are three and one-third number positions apart. Each number position is thirty degrees around the clock, so the hands form an angle of \displaystyle 3\tfrac{1}{3} \cdot 30 = 100^{\circ}.
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