We are given a diagram with a straight line and two lines intersecting it, forming angles. We are given that one angle is $30^{\circ}$ and another is $55^{\circ}$. We are asked to find the size of the angle $x$.

1. Problem Description

We are given a diagram with a straight line and two lines intersecting it, forming angles. We are given that one angle is $30^{\circ}$ and another is $55^{\circ}$. We are asked to find the size of the angle $x$.

2. Solution Steps

The angles on a straight line add up to $180^{\circ}$.

Let the angle adjacent to $30^{\circ}$ on the straight line be $a$.

Let the angle adjacent to $55^{\circ}$ on the straight line be $b$.

Then, $30^{\circ} + x + 55^{\circ} = 180^{\circ}$.

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

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

$x = 95^{\circ}$.

3. Final Answer

$x = 95^{\circ}$