Question

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Explanation:

1. First, verify Statement 2: ∠ACD and ∠DCB form a linear pair (they share a side and their non-shared sides form a straight line AB). The linear pair theorem states that such angles are supplementary (sum to 180°), so Statement 2 is correctly supported.
2. Next, verify Statement 3: The transitive property applies to relations like congruence (≅) or equality (=). Supplementary is a relationship about angle sums, not a congruence/equality. We know ∠ACD ≅ ∠XYZ and m∠ACD + m∠DCB = 180°. Substituting gives m∠XYZ + m∠DCB = 180°, but this substitution uses the definition of congruent angles and substitution property, not the transitive property, which only applies to direct congruence/equality between quantities.
3. Evaluate the options: The only incorrect support is for Statement 3, as the transitive property does not apply to supplementary relationships, only congruence and equality.

Answer:

Statement 3, because the transitive property applies only to congruence and equality.