# math

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what is the smaller angle between the hour and the minute hand of the clock at 12:20.

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What is the other angle?

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120

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The angle between the minute hand and the hour hand at 12:20 is 120 degrees.

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At 12:20 the minute hand has moved 120° if we consider 12:00 as 0°
Each hour the hour hand moves 30°
At that time of 12:20 the hour hand has moved 20/60 or 1/3 of its 30° movement, so the hour hand has moved 10°

making the angle between the 20 at 12:20 equal to 110°

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My last sentence makes no sense, it should say

making the angle between the hands at 12:20 equal to 110°

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