Final answer:
The question's details are incomplete and contain typos, making it impossible to answer precisely. Congruence requires corresponding parts of triangles to be congruent, but without the correct statement or a figure, we cannot determine which sides or angles are congruent. Moreover, the lack of context doesn't allow solving for x.
Step-by-step explanation:
The provided information is incomplete and seems to contain typos which do not allow for a precise answer to the original question regarding triangle congruence. However, in general, when triangles are noted to be congruent (for example, ΔANMK ≃ ΔATRP), corresponding parts of congruent triangles are also congruent (CPCTC). This means that corresponding sides and angles of one triangle are congruent to the sides and angles of the second triangle. Without the correct congruence statement or additional information such as a figure, it is impossible to accurately complete the congruence statement or identify which side corresponds to TR.
As for solving for x, the question does not provide a clear mathematical context or equation that could be used to solve for x. With the given options (a) x = 25, (b) x = 20, (c) x = 3x - 1, (d) x = N, without further context, it is not feasible to provide a solution.
In problems where such context is available, you would typically use algebraic manipulation to solve for x. For instance, if you had an equation of the form x = 3x - 1, you could solve for x by rearranging it as follows: 2x = 1, which simplifies to x = 0.5. However, with the current details, a definitive answer cannot be given.