In the figure to the​ right, line m and line n are parallel. Determine whether the given angles are congruent or supplementary.

Question

angle∠bb and angle∠gg

m
n
a
b
c
d
e
f
g
h
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Part 1
Identify whether the pair of angles is congruent or supplementary.
supplementarysupplementary angles
congruentcongruent angles

Answer 1

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:

1. Corresponding Angles - These are congruent when two parallel lines are cut by a transversal.
2. Alternate Interior Angles - These are also congruent.
3. 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.