Which property is shown?If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
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Justify each step in the flowchart proof. A: B: C:
Given: m∠A + m∠B = m∠B + m∠CProve: m∠C = m∠AWrite a paragraph proof to prove the statement.
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.
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