Question

Lines L1 and L2 are parallel, and they are intersected by transversal m. What is the relationship between ∠3 and ∠6?

A) ∠3 and ∠6 are alternate interior angles and are congruent.
B) ∠3 and ∠6 are corresponding angles and are congruent.
C) ∠3 and ∠6 are supplementary angles.
D) ∠3 and ∠6 are vertical angles and are congruent.

Answer 1

The relationship between ∠3 and ∠6 is that they are corresponding angles and congruent when intersected by a transversal on two parallel lines.

Step-by-step explanation:

The relationship between ∠3 and ∠6 when lines L1 and L2 are parallel and ∠3 is ∠6 are corresponding angles and are congruent. Corresponding angles are those that are in the same relative position at each intersection where a transversal intersects two or more lines. Since lines L1 and L2 are parallel, ∠3 and ∠6 will have the same measure, making option B the correct answer: B) ∠3 and ∠6 are corresponding angles and are congruent.