123,286 views
21 votes
21 votes
When lines are parallel...

When lines are parallel...-example-1
User Lirik
by
3.3k points

1 Answer

22 votes
22 votes

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

User Kishan Soni
by
3.2k points