To determine the relationship between the two triangles described (with angles 50°, 60°, and 70° each), we need to distinguish between congruent and similar triangles:

Key Definitions

• Congruent Triangles: Must have all corresponding sides and angles equal (identical shape and size).
• Similar Triangles: Must have all corresponding angles equal (same shape) and corresponding sides in proportion (size may differ).

Analysis

The two triangles share the same three angles (50°, 60°, 70°). By the AA (Angle-Angle) Similarity Criterion, this guarantees they are similar. However, there is no information about the lengths of their sides. They could have different side lengths (e.g., one triangle scaled up/down from the other), so we cannot confirm their sides are equal.

Conclusion

The triangles are similar but not necessarily congruent.

Answer: The two triangles are similar, not congruent. Because congruence requires equal side lengths (not just angles), which are not provided. Thus, they are similar but not congruent.

$\boxed{\text{Similar but not congruent}}$

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