Based only on the information given in the diagram, it is guaranteed that triangle JKL~ triangle WXY

For triangles to be similar, corresponding angles should be congruent.
ΔJKL vs ΔWXY
Corresponding angles ∠J=27 ∠W=27
∠K=90 ∠X = 90
∠L=63 ∠Y=63.
Corresponding angles are congruent, so triangles are similar.
Answer : A. True.