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Answer:

m∠C to the nearest degree is 10 degrees.

Step-by-step explanation:

tan(Θ)=opposite/adjacent

The side opposite to angle C is AB , and the side adjacent to angle C is AC.

tan(Θ)=AB/AC

tan(Θ)=2/11

Using a calculator, you'll find that m∠C=10.3≈10 degrees.