Final answer:
Without specific information about the two angles in question, it is not possible to determine if they are congruent or supplementary. Angles are congruent if they have the same measure, and supplementary if their measures sum to 180 degrees.
Step-by-step explanation:
The question you've asked pertains to identifying whether two angles are congruent or supplementary. Unfortunately, the details you've provided do not give specific information about the two angles in question, only one expression |(2X+26) which is not sufficient to determine a relationship between two angles. Typically, congruent angles are angles of the same measure, while supplementary angles are two angles whose measures add up to 180 degrees. Without a second angle or further context, it is not possible to give an accurate answer to whether the angles are congruent or supplementary.
However, for any two given angles, you can determine if they are congruent by checking if they have the same measure, and if they are supplementary by adding their measures and verifying if the sum is 180 degrees. For example, if the other angle were presented, say |(3Y-4), you'd need to set 2X+26 equal to 3Y-4 (for congruence) or 2X+26 + 3Y-4 = 180 (for supplementarity) and solve the equations accordingly.