To determine the relationship between angles ABC and LMN, we need to compare their properties and characteristics. Let's analyze each option:
A. Same shape: This statement is true for any pair of angles, regardless of their measures or orientations. So, angles ABC and LMN have the same shape.
B. Same size: To determine if angles ABC and LMN are the same size, we need to compare their measures. However, the measures of these angles are not provided in the question. Therefore, we cannot determine if angles ABC and LMN are the same size based on the information given.
C. Similar: The term "similar" refers to figures that have the same shape but are not necessarily the same size. Since angles ABC and LMN have the same shape, they can be considered similar.
D. Congruent: To determine if angles ABC and LMN are congruent, they need to have the same measure. However, the measures of these angles are not provided in the question. Therefore, we cannot determine if angles ABC and LMN are congruent based on the information given.
In summary, based on the given information:
- Angles ABC and LMN have the same shape (Option A: Same shape).
- Angles ABC and LMN may be similar, but we cannot determine this for certain without their specific measures (Option C: Similar).
We cannot determine if angles ABC and LMN are the same size (Option B: Same size) or congruent (Option D: Congruent) due to the lack of specific angle measures.