On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.
Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (the HA theorem states that "if the hypotenuse and an acute angle
of one right triangle are congruent to the hypotenuse and an acute
angle of another right triangle, then the two triangles are congruent").
Also you can conclude that triangles are congruent by AAS Postulate (the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding
parts of another triangle, then the triangles are congruent").
