An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
What is the relationship between angle 3 and angle 6?
(1 point)
Responses
alternate exterior angles
corresponding angles
vertical angles
alternate interior angles
The relationship between angle 3 and angle 6 is alternate interior angles.
The relationship between angle 3 and angle 6 is alternate interior angles.
To determine the relationship between angle 3 and angle 6, we need to look at the given information about the intersecting lines M and N.
In this case, we are dealing with transversals intersecting two parallel lines, which means we can use the properties of angles formed by a transversal.
Looking at the angles formed around the intersection point of line M, angle 3 and angle 6 are on opposite sides of the transversal and are also on opposite sides of the parallel lines. These types of angles are known as alternate exterior angles.
Thus, the relationship between angle 3 and angle 6 is that they are alternate exterior angles.