Using facts about angels formed when parallel lines are cute by a transversal, what relationship can you establish between angle 5 and angle 1?
1. Alternate interior angels
2. Corresponding angels
3. Alternate exterior angels
4. Vertical angels
Based on the given facts, the relationship that can be established between angle 5 and angle 1 is:
2. Corresponding angles
Based on the given information, the relationship that can be established between Angle 5 and Angle 1 is that they are corresponding angles.
To establish a relationship between angle 5 and angle 1 using the facts about angles formed when parallel lines are cut by a transversal, we need to consider the types of angles that are formed.
When parallel lines are cut by a transversal, several pairs of angles are formed. Let's label the given angles as angle 5 and angle 1:
_______ _______
| 5 | 1
| _______|
| |________
In this case, we have a transversal cutting the parallel lines.
Now, let's look at the options provided:
1. Alternate interior angles: These are formed on opposite sides of the transversal, between the parallel lines. In this case, angle 5 and angle 1 are not alternate interior angles, as they are on the same side of the transversal.
2. Corresponding angles: These are formed in matching positions on the same side of the transversal, but outside the parallel lines. In this case, angle 5 and angle 1 are not corresponding angles, as they are not on the same side of the transversal.
3. Alternate exterior angles: These are formed on opposite sides of the transversal, but outside the parallel lines. Angle 5 and angle 1 are not alternate exterior angles either, as they are on the same side of the transversal.
4. Vertical angles: Vertical angles are formed when two lines intersect. In this case, we have parallel lines cut by a transversal, not intersecting lines. Angle 5 and angle 1 are not vertical angles.
After analyzing the options, we can conclude that none of the given options establish a relationship between angle 5 and angle 1.