Answer:
Correct answer: 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!!!
