Answer:
[tex]\text{The given triangles are congruent by A.A.S. axiom.}[/tex]
Step-by-step explanation:
[tex]\text{See the image for better understanding.}[/tex]
[tex]\text{In triangles ABD and ACD,}\\\text{(i) }\angle \text{B}=\angle \text{C}\ \ \ \text{(A) [Given]}\\\text{(ii) }\angle \text{BAD = }\angle \text{CAD}\ \ \ \text{(A) [Given]}\\\text{(iii) }\text{AD=AD (S) [Common side.]}\\\text{(iv) }\triangle \text{ABD}\cong\triangle \text{ACD}\ \ \ [\text{By A.A.S. postulate.}][/tex]
