To determine whether angles ∠bb and ∠gg are congruent or supplementary, we need to understand the relationship between angles formed by parallel lines cut by a transversal.
- Congruent angles are angles that have the same measure.
- Supplementary angles are angles whose measures add up to 180 degrees.
If lines m and n are parallel and there is a transversal (the line that intersects both lines), then the relationships between the angles depend on their positions:
- Corresponding Angles - These are congruent when two parallel lines are cut by a transversal.
- Alternate Interior Angles - These are also congruent.
- Same-Side Interior Angles (also known as Consecutive Interior Angles) - These are supplementary.
Without a figure to reference, I cannot definitively state whether ∠bb and ∠gg are congruent or supplementary. However, if they are corresponding angles or alternate interior angles, they are congruent. If they are same-side interior angles, they are supplementary.
To provide an exact answer, please clarify the positions of angles ∠bb and ∠gg with respect to lines m and n.