We are asked to find out if the two triangles are congruent and indicate the method to prove that they are congruent.
As you can see, when two lines intersect, they make two pairs of "vertically opposite angles" and these angles are equal.
Also, both triangles have equal angles of 25°.
Both triangles have one equal side.
So, we have two equal angles and one equal including side (including side means that it is between the two equal angles)
So, we can conclude that the two triangles are congruent by the "ASA" (Angle-Side-Angle) postulate of triangle congruency.
Therefore, the correct answer is "ASA"