The problem asks to find the size of angle $x$ given that the angles $50^\circ$, $x$, and $35^\circ$ form a straight line.

1. Problem Description

The problem asks to find the size of angle $x$ given that the angles $50^\circ$, $x$, and $35^\circ$ form a straight line.

2. Solution Steps

Since the angles $50^\circ$, $x$, and $35^\circ$ form a straight line, their sum is $180^\circ$.

We can write this as:

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

Combine the known angles:

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

Subtract $85^\circ$ from both sides of the equation to solve for $x$:

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

$x = 95^\circ$

3. Final Answer

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