A)a 15-year old girl charged with shoplifting.

eliminate

b)a 19-year old man charged with assault.c)a 21-year old woman charged with fraud.d)a 25-year old man charged with speeding

The answer is A.

15 year-old girl with shoplifting

Option A is correct.

Step-by-step explanation:

We are given

sin∠X = cos∠Y

And value of ∠X= 72°

we need to find value of ∠Y

Putting value of ∠X in the given equation

sin∠X = cos∠Y

sin(72°) = cos∠Y

=> cos∠Y = 0.951

Now we take cos^-1

∠Y = cos^-1(0.951)

∠Y = 18.01 ≈ 18°

So Option A is correct.