The problem asks for the size of angle $x$ given that the angles $30^\circ$, $x$, and $55^\circ$ form a straight line.

1. Problem Description

The problem asks for the size of angle $x$ given that the angles $30^\circ$, $x$, and $55^\circ$ form a straight line.

2. Solution Steps

A straight line has a total angle of $180^\circ$. Since the three angles form a straight line, their sum is $180^\circ$.

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

Combine the known angles:

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

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

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

$x = 95^\circ$

3. Final Answer

$95^\circ$