These triangles are congruent by the triangle congruence postulate ASA. Here option B is correct.
The Triangle Congruence Postulate ASA (Angle-Side-Angle) states that if two triangles have two corresponding angles and the included side congruent, then the triangles are congruent. In other words, the order of the corresponding elements in the triangles is angle, angle, side.
This postulate is based on the fact that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the third angle of each triangle must also be congruent due to the sum of angles in a triangle being 180 degrees.
For example, if in triangles ABC and DEF, angle A is congruent to angle D, angle B is congruent to angle E, and side AB is congruent to side DE, then by ASA, the triangles ABC and DEF are congruent. This congruence postulate is one of the fundamental tools in geometry for establishing the equality of geometric figures. Here option B is correct.