In the image shown, line l and line m are parallel. How are angle 2and angle 5 related?
Lines L and m are intersected by a transversal.
Angle 1 is above line L and left of the transversal.
Angle 8 is above line L and right of the transversal.
Angle 2 is below line L and right of the transversal.
Angle 7 is below line L and left of the transversal.
Angle 5 is above line M and left of the transversal.
Angle 4 is above line m and right of the transversal.
Angle 6 is below line m and right of the transversal.
Angle 3 is below line m and left of the transversal.
(1 point)
Responses
corresponding angles
corresponding angles
alternate interior angles
alternate interior angles
same-side interior angles
same-side interior angles
alternate exterior angles
alternate exterior angles
Angle 2 and angle 5 are alternate exterior angles.
In this scenario, we have two parallel lines, line L and line M, which are intersected by a transversal. We are asked to determine the relationship between angle 2 and angle 5.
To determine the relationship between these angles, we need to look at the types of angles formed when a transversal intersects parallel lines.
In this case, angle 2 is below line L and to the right of the transversal, while angle 5 is above line M and to the left of the transversal. These angles are formed on different lines and on opposite sides of the transversal.
Based on the properties of angles formed by a transversal intersecting parallel lines, we can conclude that angle 2 and angle 5 are alternate interior angles. Alternate interior angles are pairs of angles that are formed on opposite sides of the transversal and inside the two parallel lines.
So the correct answer is: alternate interior angles.