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
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8 months ago
8 months ago
The relationship that can be established between angle 5 and angle 1 is alternate interior angles.
8 months ago
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.