Two parallel lines cut by a transversal can create all the following types of angles except
There are no 'following types' listed
To determine the types of angles that can be created when two parallel lines are cut by a transversal, we first need to understand the various angle relationships.
When a transversal intersects two parallel lines, it creates eight different angles. These angles can be classified into four pairs of corresponding angles, four pairs of alternate interior angles, four pairs of alternate exterior angles, and two pairs of consecutive interior angles.
1. Corresponding angles: Corresponding angles are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal and in the same position relative to the two parallel lines. Corresponding angles are always equal in measure.
2. Alternate interior angles: Alternate interior angles are formed when a transversal intersects two parallel lines. They are located on opposite sides of the transversal and within the two parallel lines. Alternate interior angles are always equal in measure.
3. Alternate exterior angles: Alternate exterior angles are formed when a transversal intersects two parallel lines. They are located on opposite sides of the transversal, but outside the two parallel lines. Alternate exterior angles are always equal in measure.
4. Consecutive interior angles (also known as same-side interior angles): Consecutive interior angles are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal and within the two parallel lines. Consecutive interior angles are supplementary, meaning their measures add up to 180 degrees.
Now, considering the possible types of angles created, we can conclude that the one type of angle that cannot be formed when two parallel lines are cut by a transversal is a vertical angle. Vertical angles are formed by the intersection of two lines, not parallel lines.
Therefore, the answer to the question is that two parallel lines cut by a transversal can create all the following types of angles except vertical angles.