A pair of parallel lines is intersected by a transversal such that ∠1 and ∠2 form a pair of alternate interior angles. If m∠1= $$35^∘$$​, what is the measure of ∠2 ?

Correct option is A

Given:

A pair of parallel lines is intersected by a transversal.

​$$\angle$$1 and $$\angle$$2 form a pair of alternate interior angles.

$$m\angle1= 35^\circ$$

Concept:

When two parallel lines are intersected by a transversal, alternate interior angles are congruent. This means that if

​$$\angle$$​1 and$$\angle$$2 are alternate interior angles, then:

​$$m\angle1$$ = $$m\angle2$$​​
Solution:

​$$m\angle1$$ = $$35^\circ$$ we can conclude that:

$$m\angle2 = 35^\circ$$

​​Thus, the measure of $$\angle2$$ is $$35^\circ$$​​