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.