Final answer:
The question is related to the properties of congruent or similar triangles in geometry, where sides and angles of one triangle correspond to another, and all triangles must have angles summing up to 180 degrees.
Step-by-step explanation:
The question appears to be discussing the relationships between two triangles, specifically triangle x'y'z' and triangle xyz. In mathematics, especially in the context of geometry, whenever a question refers to corresponding sides being equal or angles being the same, it often involves the concept of similar or congruent triangles. For triangles to be congruent, all three sides of one triangle must be proportional to the corresponding sides in the other triangle, and all corresponding angles must also be equal. This is known as the Side-Angle-Side (SAS) Postulate if the given information is about two sides and the angle between them, or the Side-Side-Side (SSS) Postulate if it is about three sides. An important property of all triangles is that the sum of the internal angles is always 180 degrees.