Two parallel lines cut by a transversal can create all the following types of angles except
To determine which types of angles are not created when two parallel lines are cut by a transversal, let's first understand the concepts involved.
When two parallel lines are intersected by a transversal, several types of angles are formed. These angles can be classified into three categories:
1. Corresponding angles: These are the angles that are in the same position relative to the transversal and the parallel lines. Corresponding angles are congruent, meaning they have the same measure.
2. Alternate interior angles: These are the angles that are on opposite sides of the transversal and between the parallel lines. Alternate interior angles are congruent, meaning they have the same measure.
3. Alternate exterior angles: These are the angles that are on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are congruent, meaning they have the same measure.
Now, when we consider the angles formed by two parallel lines and a transversal, we find that the missing type of angle is the "opposite angles" or "vertical angles".
Vertical angles are formed by two intersecting lines and are opposite each other. They have the same measure, and they are not created when two parallel lines are cut by a transversal, because parallel lines never intersect.
So, in summary, the types of angles created when two parallel lines are cut by a transversal are: corresponding angles, alternate interior angles, and alternate exterior angles. The type of angle that is not created is the opposite angles or vertical angles.