The bond angle around each central carbon atom is 120°and they are both sp2 hybridized having three regions of electron density.
We can see that the two central carbon atoms have a double bond to each other. A double bonded specie is sp2 hybridized. This implies that the two central carbon atoms are sp2 hybridized.
Also, there are three regions of electron density around each of the two central carbon atoms because each is bonded to three atoms respectively. The bond angle of each central atom is 120°.
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