Was Itachi killed by his own Susanoo?

[Uchihaa Sasuke]

Didnt Nagato died from rebirth jutsu?

Not from the jutsu itself but because he used it while low on chakra.

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All Rinnegan jutsus no matter what it is sucked from Nagato's life-force

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Rinnegan and Sharingan are connected. The point is, Itachi isn't the only one to die this way.