Question

10 △wzx≅△yzx
x = ______

Explanation:

Step1: Use congruent - triangle property

Since $\triangle WZX\cong\triangle YZX$, corresponding sides are equal. So, $WZ = YZ$.
We have $WZ=2x + 9$ and $YZ = 3x-10$. Then, $2x + 9=3x - 10$.

Step2: Solve the equation for $x$

Subtract $2x$ from both sides of the equation: $2x+9-2x=3x - 10-2x$.
We get $9=x - 10$.
Then add 10 to both sides: $9 + 10=x-10 + 10$.
So, $x=19$.

Answer:

$19$