What is the relationship between angle 6 and angle 7?
Responses
show work
alternate exterior angles
alternate exterior angles - no response given
vertical angles
vertical angles - not selected, this is the correct answer
alternate interior angles
alternate interior angles - incorrect
corresponding angles
corresponding angles - incorrect
What is the relationship between angle 6 and angle 7?
Responses
show work
alternate exterior angles
vertical angles
alternate interior angles
corresponding angles
The relationship between angle 6 and angle 7 is alternate interior angles.
To find the relationship between angle 6 and angle 7, we need to look at the given options: alternate exterior angles, vertical angles, alternate interior angles, and corresponding angles.
Alternate exterior angles are a pair of angles that are on opposite sides of the transversal and outside the two parallel lines. However, based on the given choices, this does not apply to angle 6 and angle 7.
Alternate interior angles are a pair of angles that are on opposite sides of the transversal and inside the two parallel lines. This also does not apply to angle 6 and angle 7.
Corresponding angles are angles that are in the same position at each intersection when a straight line (transversal) crosses two parallel lines. However, we don't have enough information to determine if angle 6 and angle 7 are corresponding angles.
Finally, vertical angles are pairs of angles that are opposite each other when two lines intersect. In this case, angle 6 and angle 7 form a pair of vertical angles because they are opposite each other when the lines intersect.
Therefore, the correct relationship between angle 6 and angle 7 is that they are vertical angles.