We have given two angles, so the third angle is also known since all three angles sum to 180°.
By, these given facts we can create infinite number of triangles of same ratio of angles but of different sises.
But, we have also given the length of sides.
Now, we can only have one triangle of with such an information because changing the length of other side will disobey Angle Side Angle postulate.
Therefore, we can only have 1 triangle with all these information.
Hence, this is the required solution.