We need to find the size of angle $g$. We are given that the angle vertically opposite to the $89^\circ$ angle is split into two angles, $g$ and an angle of $22^\circ$.

1. Problem Description

We need to find the size of angle $g$. We are given that the angle vertically opposite to the $89^\circ$ angle is split into two angles, $g$ and an angle of $22^\circ$.

2. Solution Steps

Since the angles are vertically opposite, they are equal. Therefore, the angle vertically opposite to the $89^\circ$ angle is also $89^\circ$.

This angle is composed of two smaller angles, $g$ and $22^\circ$.

Thus, we have

$g + 22^\circ = 89^\circ$

To solve for $g$, we subtract $22^\circ$ from both sides of the equation:

$g = 89^\circ - 22^\circ$

$g = 67^\circ$

3. Final Answer

The size of angle $g$ is $67^\circ$.