Question

In the diagram, the ratios of two pairs of corresponding sides are equal.

To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that

A.∠N ≅ ∠Z
B.∠N ≅ ∠X
C.∠L ≅ ∠Z
D.∠L ≅ ∠Y

Answer 1

Since you have two sets of side  lengths that are in the same ratio, you need the included angles. The included angle of two sides is the angle formed by the two sides.
<N congr. to <Z

Answer 2

Answer:

A. ∠N ≅ ∠Z

Step-by-step explanation:

I simply aligned both triangles equation. I wish you guys all the luck and love! <3