The problem asks to find the value of $x$, where $x$ and $85^{\circ}$ are angles on a straight line.

1. Problem Description

The problem asks to find the value of $x$, where $x$ and $85^{\circ}$ are angles on a straight line.

2. Solution Steps

The angles $x$ and $85^{\circ}$ are supplementary angles because they form a straight line. The sum of supplementary angles is $180^{\circ}$.

Therefore, we have the equation:

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

Subtract $85^{\circ}$ from both sides of the equation:

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

$x = 95^{\circ}$

3. Final Answer

95