The Fifth Day of Kwanzaa is December 30th

On the fifth day the black candle is lit, then the farthest left red, the farthest right green, the next red and then the next green candle. This represents the 5th principle of Kwanzaa -  Nia (NEE-ah). :  Purpose . The fifth principle is discussed. The family shares the Unity cup and the candles are extinguished.

http://www.holidays.net/kwanzaa/7days.htm

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