Question

When two parallel lines are cut by a transversal, which statement is true?

The same side interior angles are congruent.
The corresponding angles are supplementary.
The alternate interior angles are congruent.
The alternate exterior angles are supplementary.

Answer 1

The alternate interior angles are congruent

Answer 2

Answer: The alternate interior angles are congruent.

Explanation:

The alternate interior angles are obtained when a transversal passes through any two lines.

The angles obtained on opposite sides of the transversal and at the interior of the two lines are known as alternate interior angles.

Also, the alternate interior angles theorem says that when two parallel lines are cut by a transversal , then the resulting alternate interior angles are congruent .

Hence, the correct option is "The alternate interior angles are congruent."