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The very simplistic way I think of it, is a sigma bond is a single bond. So when there is a double bond, or triple bond something else needs to fill it. So for a double bond, you can always start out with the sigma bond (single) and then however many more bonds you need will be the pi bonds. Therefore, a double bond has a sigma and a pi bond. In a triple bond, you would start with the single (sigma) and then the rest would each be pi bonds. Pi bonds are basically used in multiple bonds.
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