Use the image to answer the question.

Question

A vertical line is intersected by two parallel lines m and n forming eight angles.

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

Definition of congruence
Definition of congruence

Transitive Property of Equality
Transitive Property of Equality

Corresponding Angles Postulate
Corresponding Angles Postulate

Vertical Angles Theorem
Vertical Angles Theorem

Answer 1

In the proof provided, the missing reason for statement 2, which indicates that \( m\angle A = m\angle E \), is related to the relationship between angles formed when two parallel lines are cut by a transversal.

The correct answer is the Corresponding Angles Postulate. This postulate states that when a transversal intersects two parallel lines, the corresponding angles formed are congruent.

So, the response you are looking for is:

Corresponding Angles Postulate.