Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point)
Responses
corresponding angles
corresponding angles
alternate exterior angles
alternate exterior angles
vertical angles
vertical angles
alternate interior angles
alternate interior angles
alternate interior angles
The relationship that can be established between angle 5 and angle 1 is alternate interior angles.
To establish a relationship between angle 5 and angle 1 when parallel lines are cut by a transversal, we need to use the facts about the angles formed in this scenario. In this case, we can use the concept of alternate interior angles.
When parallel lines are intersected by a transversal, alternate interior angles are formed on opposite sides of the transversal between the two parallel lines. These angles are congruent, meaning they have the same measure.
In this situation, angle 5 and angle 1 are on opposite sides of the transversal but between the parallel lines. Therefore, based on the properties of alternate interior angles, angle 5 and angle 1 will have the same measure.
So, the relationship established between angle 5 and angle 1 is that they are congruent, or they have the same measure.