Given that triangles \( \Delta LBR \) and \( \Delta MDS \) are congruent (\( \Delta LBR \cong \Delta MDS \)), we can conclude that their corresponding sides and angles are equal.
To find the value of \( x \), we would typically look for corresponding parts of the two triangles that relate to \( x \). For example, if \( x \) is a side length or angle measure in one triangle, we would set it equal to the corresponding side length or angle measure in the other triangle.
If you have specific side lengths or angle measures for either triangle, please provide them so I can further assist you in determining the value of \( x \).