The problem asks to find the value of angle $x$ in degrees, given that a straight line has angles $50^\circ$, $x$, and $35^\circ$ adjacent to each other.

1. Problem Description

The problem asks to find the value of angle $x$ in degrees, given that a straight line has angles $50^\circ$, $x$, and $35^\circ$ adjacent to each other.

2. Solution Steps

The sum of angles on a straight line is $180^\circ$.

Therefore, the sum of the three angles $50^\circ$, $x$, and $35^\circ$ is $180^\circ$.

We can write this as an equation:

$50^\circ + x + 35^\circ = 180^\circ$.

Combining the constant terms, we have

$85^\circ + x = 180^\circ$.

Subtracting $85^\circ$ from both sides of the equation gives

$x = 180^\circ - 85^\circ$.

$x = 95^\circ$.

3. Final Answer

$95^\circ$