Respuesta :

Given:

As per the given figure, we can say that:

BC = EF, AB = DE.

∠ABC = 50°, ∠DEF = 45°

DF = 15

To find:

Possible length of AC

Step by step solution:

As per the given question:

∠ABC = 50°, ∠DEF = 45°

We know that, Sides opposite to larger sides are larger.

∠ABC > ∠DEF

Thus the side opposite to ∠ABC is larger than side opposite to ∠DEF:

Side AC > Side DF

Side AC > 15

According to the given options (17,15,13,12):

Only option (A) 17 is larger than 15, thus 17 is the answer of this question.

17 is the only possible value of AC, among the given options.