The problem asks us to find the size of angle $x$ in the given diagram. We are given that the angles next to angle $x$ are $20^{\circ}$ and $65^{\circ}$. The three angles form a straight line.

1. Problem Description

The problem asks us to find the size of angle $x$ in the given diagram. We are given that the angles next to angle $x$ are $20^{\circ}$ and $65^{\circ}$. The three angles form a straight line.

2. Solution Steps

The sum of angles on a straight line is $180^{\circ}$.

Therefore, $20^{\circ} + x + 65^{\circ} = 180^{\circ}$.

$20 + x + 65 = 180$

$x + 85 = 180$

$x = 180 - 85$

$x = 95$

3. Final Answer

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