The problem asks to find the size of angle $x$ given a straight line with angles $30^\circ$, $x$, and $55^\circ$ adjacent to each other.

1. Problem Description

The problem asks to find the size of angle $x$ given a straight line with angles $30^\circ$, $x$, and $55^\circ$ 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 must be $180^\circ$.

$30^\circ + x + 55^\circ = 180^\circ$

Combine the known angles:

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

Subtract $85^\circ$ from both sides to isolate $x$:

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

$x = 95^\circ$

3. Final Answer

$x = 95^\circ$