The person that replaced your rear tires did not set that broken part properly in the end of the swingarm, and probably did not torque the rear shaft properly or did not leave sufficient slack for the chain.
The part is strong but fragile, and it was overloaded with a bending stress for which it was not designed.
Anyhow, it is an easy replacement if you have the tools.
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Motofool
.................................Never ride faster than your guardian angel can fly
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