Answer:
Yes, they are congruent by SAS postulate.
Explanation:
Let us first name the vertices of both the triangles.
The labelled diagram is shown below.
Consider the triangles ABC and ACD
Statements Reasons
1. BC ≅ AC Given
2. ∠ ACB ≅ ∠ CAD Given
3. AC ≅ AC Common sides are congruent due to Reflexive property
As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.
So, we can conclude that the given triangles are congruent.