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Correct Answer:

It is given that m∠A + m∠B = m∠B + m∠C. According to the subtraction property of equality, the same value can be subtracted from both sides of an equation without changing the equality. By subtracting m∠B from both sides of the equation, the result is m∠A = m∠C. By the symmetric property of equality, if m∠A = m∠C, then m∠C = m∠A.