In $△$ABC, $\angle A={30}^{\circ }$ , $\angle B={40}^{\circ }$ and $\angle C={110}^{\circ }$.

In $△$PQR, $\angle P={30}^{\circ }$ , $\angle Q={40}^{\circ }$ and $\angle R={110}^{\circ }$.

Then the two triangles are necessarily congruent.

The correct option is B: False

If all the corresponding angles of two triangles are the same, the triangles will have the same shape, but not necessarily the same size and hence may not be congruent.

Congruent triangles will always have the same shape and same size.