Two parallel lines cut by a transversal can create all the following types of angles except
To determine the types of angles that can be created when two parallel lines are intersected by a transversal, we need to understand some key angle relationships.
When two parallel lines are intersected by a transversal, eight angles are formed. These angles can be categorized based on their positions and relationships with each other. They are:
1. Corresponding angles: These angles are located on the same side of the transversal and in corresponding positions. Corresponding angles are always congruent (equal).
2. Alternate interior angles: These angles are located on opposite sides of the transversal and inside the two parallel lines. Alternate interior angles are always congruent.
3. Alternate exterior angles: These angles are located on opposite sides of the transversal and outside the two parallel lines. Alternate exterior angles are always congruent.
4. Vertical angles: These angles are formed by two intersecting lines and are opposite each other. Vertical angles are always congruent.
5. Same-side interior angles: These angles are located on the same side of the transversal and inside the two parallel lines. Same-side interior angles are supplementary, which means their measures add up to 180 degrees.
6. Same-side exterior angles: These angles are located on the same side of the transversal and outside the two parallel lines. Same-side exterior angles are supplementary.
Based on these angle relationships, the types of angles that can be formed by two parallel lines cut by a transversal are:
- Corresponding angles
- Alternate interior angles
- Alternate exterior angles
- Vertical angles
- Same-side interior angles
- Same-side exterior angles
Therefore, the type of angles that cannot be created when two parallel lines are intersected by a transversal is not specified, as all the angle types mentioned above can be formed.