It is given that ΔABC ~ ΔDEF. If ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm then which of the following is true?

In ΔABC,
∠ A + ∠B + ∠ C = 180°

30° + ∠B + 50° = 180°

∠ B = 100°
Given that Δ ABCΔDEF
∠D = ∠A = 30°

∠ E = ∠ B = 100°
∠ F = ∠ C = 50°
Also,

DE = 4.6875
And as neither BC nor EF is given we can not find either of them. So, none of the given options is correct.
Now,
Δ ABCΔDFE,
Then,
∠D = ∠ A = 30°
∠ F = ∠ B = 100°
∠ E = ∠ C = 50°
Also,

DE = 12cm
Therefore, the correct option is (b).