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Correct   YZ = 4

Step-by-step explanation:

Given:

∠ XWY ≅ ∠ZWY  acute angles of the right triangles

XY = 4   leg of the right triangle Δ WXY

YZ = ?  leg of the right triangle Δ WZY

Both given triangles are right triangles.

For right triangles, two conditions are sufficient to prove that they are congruent.

First condition:   ∠ XWY ≅ ∠ZWY

Second condition: The side WY (hypotenuse) is common to both triangles WY = WY

Third condition:  ∠ WXY ≅ ∠ WZY = 90°

WE have theorem angle - side- angle, shortly A - S - A

According to this theorem, the two triangles are congruent, and therefore all their corresponding elements are congruent

XY = YZ = 4

YZ = 4

God is with you!!!

15

step-by-step explanation: