GRE Math Bible question No. 29 on Page-98: Why can't $x/2 = 2y/3 = z$ be considered as another correct answer?

Question

Take a look at the question No. 29 on Page-98.

29. Which one of the following is true regarding the triangle shown in figure?

(A) $x > y > z$

(B) $x < y < z $

(C) $x = y = z$

(D) $2x = 3y/2 = z$

(E) $x/2 = 2y/3 = z$

The given answer is

(A) x > y > z. (See Page-146)

But,

Why can't (E) be considered as another correct answer?

Answer 1

Because angles are NOT proportional to their opposite sides. Their sines are, but not the angles themselves.