Answer:
![\huge \boxed{13.04}](https://img.qammunity.org/2021/formulas/mathematics/high-school/3ra6kdocf66r1okpwly73g3qkww49og62q.png)
Explanation:
The triangles are congruent, we can use ratios to solve.
WY/XY = (WY+YZ)/VZ
Let the length of YZ be x.
25/23 = (25+x)/35
Cross multiply.
23(25+x) = 25 × 35
575 + 23x = 875
Subtract 575 from both sides.
575 + 23x - 575 = 875 - 575
23x = 300
Divide both sides by 23.
(23x)/23 = 300/23
x = 13.0434782609...