In triangles ABC and CDE, if $AC = CE, BC = CD, \angle A = 60^{\circ}, \angle C = 30^{\circ}$ and $\angle D = 90^{\circ}$. Are two triangles congruent?
If ABC and DEF are two triangles such that $AC = 2.5 cm, BC = 5 cm, \angle C = 75^{\circ}$ $DE = 2.5 cm, DF = 5 cm$ and $\angle D = 75^{\circ}$. Are two triangles congruent?
In two triangles ABC and DEF, it is given that $\angle A = \angle D, \angle B = \angle E$ and $\angle C = \angle F$. Arethe two triangles necessarily congruent?