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?
Responses
alternate interior angles
alternate interior angles - no response given
vertical angles
vertical angles - no response given
corresponding angles
corresponding angles - not selected, this is the correct answer
alternate exterior angles
alternate exterior angles - incorrect
The relationship that can be established between angle 5 and angle 1 is corresponding angles.
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To establish the relationship between angle 5 and angle 1 as corresponding angles, we need to consider the facts about angles formed when parallel lines are cut by a transversal.
When parallel lines are cut by a transversal, the corresponding angles are congruent. Corresponding angles are located on the same side of the transversal, on the same position relative to the parallel lines.
In the given diagram, angle 5 and angle 1 are located on the same side of the transversal and are both on the bottom left position relative to the parallel lines. Therefore, we can conclude that angle 5 and angle 1 are corresponding angles.
Since corresponding angles are congruent, we can state that angle 5 is congruent to angle 1.
To establish the relationship between angle 5 and angle 1 using facts about angles formed when parallel lines are cut by a transversal, you need to understand the concept of corresponding angles.
When a transversal intersects two parallel lines, it creates various pairs of angles. Corresponding angles are formed when the transversal crosses the parallel lines and are located in matching or corresponding positions.
In this case, angle 5 and angle 1 are corresponding angles. Corresponding angles are congruent, meaning they have the same measure. Therefore, angle 5 and angle 1 have the same measure.