If AB > AC, then m∠C > m∠B by the . If AB < AC, then m∠C < m∠B by the converse of the triangle parts relationship theorem.

In a triangle, the longer side is opposite the larger angle. Since AB is opposite ∠C and AC is opposite ∠B, AB > AC means m∠C > m∠B. The name for this relationship is the converse of the triangle parts relationship theorem, choice B.

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