The problem asks to find the size of angle $x$. We are given a straight line, and two angles adjacent to $x$ are $50^{\circ}$ and $35^{\circ}$.

1. Problem Description

The problem asks to find the size of angle $x$. We are given a straight line, and two angles adjacent to $x$ are $50^{\circ}$ and $35^{\circ}$.

2. Solution Steps

We know that the sum of the angles on a straight line is $180^{\circ}$.

Therefore, we have the equation:

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

Combining the constants, we get:

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

Subtracting $85^{\circ}$ from both sides, we have:

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

$x = 95^{\circ}$.

3. Final Answer

The size of angle $x$ is $95^{\circ}$.