We are asked to find the size of angle $x$. The diagram shows a straight line with three angles on one side. One angle is $20^\circ$, the second is $x$, and the third is $65^\circ$.

1. Problem Description

We are asked to find the size of angle $x$. The diagram shows a straight line with three angles on one side. One angle is $20^\circ$, the second is $x$, and the third is $65^\circ$.

2. Solution Steps

The sum of angles on a straight line is $180^\circ$. Therefore, the sum of the three angles must be $180^\circ$. We can write an equation:

$20^\circ + x + 65^\circ = 180^\circ$

Combine the constant terms:

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

Subtract $85^\circ$ from both sides of the equation:

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

$x = 95^\circ$

3. Final Answer

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