The triangles shown below must be congruent

It is true that the triangles shown in the diagram are congruent triangles.
Two triangles are considered to be congruent triangles if two triangles have similar sizes and shapes. This implies that two triangles are defined to be congruent if the lengths of their individual sides and angles are the same.
The angle-angle-side (AAS) theorem states that when two angles and any side of a triangle are identical to two angles and any side of some other triangle, then the triangles are considered to be congruent triangles.
Therefore, since these assertions are true of the triangles given, we can conclude that the two triangles are congruent triangles.
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