From the given image, the problem involves parallel lines $l \parallel m$, and we need to find the value of $x$. The angles $50^\circ$, $(2x)^\circ$, and $(5x - 16)^\circ$ are positioned based on relationships involving parallel lines and transversals.

Step-by-step Solution:

1. Identify Relationships Between the Angles:

   • The angle labeled $(2x)^\circ$ is a vertical angle with $50^\circ$, so: $2x = 50 \implies x = 25$

   • The angle labeled $(5x - 16)^\circ$ is a corresponding angle to $50^\circ$, so: $5x - 16 = 50$

2. Solve for $x$ in the Second Equation: $5x - 16 = 50$ Add 16 to both sides: $5x = 66$ Divide by 5: $x = 13.2$

3. Re-evaluate and Check: From the given information and equations, the correct value for $x$ seems to match the setup for $2x = 50$, not the latter equation.

Would you like to confirm the other details?