Answer: AAS theorem
Step-by-step explanation:
In the given figure , we have two triangles having one vertex common .
Since the vertical angles are always congruent.
i.e. ∠3≅∠4
So we have , two pairs of congruent angles .
∠1≅∠2 {given}
∠3≅∠4 [Vertical angles are congruent]
Also, one pair of non-included sides are given to be congruent.
By AAS theorem , we have both the triangles congruent.
- AAS theorem says that if two angles and any side of a triangle are congruent to two corresponding angles and any side of other triangle then we say the triangles are congruent.
We cannot apply ASA postulate because it is for two angles and one included side.
