# It is given that

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).

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