Huy is working on a proof that consecutive interior angles are supplementary. Statement Reason 1. m∠A+m∠C=180° Linear pairs are supplementary 2. m∠A=m∠E 3. m∠E+m∠C=180° Substitution 4. ∠E and ∠C are supplementary Definition of supplementary angles What is the missing reason in the proof? (1 point) Responses Transitive Property of Equality Transitive Property of Equality Vertical Angles Theorem Vertical Angles Theorem Definition of congruence Definition of congruence Corresponding Angles Postulate Corresponding Angles Postulate Skip to navigation

Answer 1

The missing reason in the proof is the Transitive Property of Equality.

Here's the reasoning:

1. From statement 1, you have m∠A + m∠C = 180° (which states that they are supplementary).
2. In statement 2, you say m∠A = m∠E, and in statement 3, you substitute to get m∠E + m∠C = 180°.
3. This step (the substitution from "m∠A" to "m∠E") uses the Transitive Property of Equality, because if two angles are equal to the same angle, they are equal to each other.

So, the correct choice is Transitive Property of Equality.