We are given a diagram with a straight line and two angles adjacent to it, namely $50^{\circ}$ and $35^{\circ}$. We need to find the size of the angle $x$, where $x$ is an angle adjacent to the $50^{\circ}$ angle on the straight line.

1. Problem Description

We are given a diagram with a straight line and two angles adjacent to it, namely $50^{\circ}$ and $35^{\circ}$. We need to find the size of the angle $x$, where $x$ is an angle adjacent to the $50^{\circ}$ angle on the straight line.

2. Solution Steps

The angles on a straight line add up to $180^{\circ}$. In this case, we have three angles on a straight line: $50^{\circ}$, $x$, and $35^{\circ}$. Therefore, we can write the equation:

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

Now, we can solve for $x$:

$x = 180^{\circ} - 50^{\circ} - 35^{\circ}$

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

$x = 95^{\circ}$

3. Final Answer

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