Find the values of x and y given the diagram with vertically opposite angles and an exterior angle of a triangle.

The angle $x$ and the $92^\circ$ angle are vertically opposite angles. Vertically opposite angles are equal.

$$x = 92^\circ$$

The value of $x$ is \boxed{\text{92^\circ}}.

The exterior angle of a triangle is equal to the sum of its two opposite interior angles. In this triangle, the exterior angle is $92^\circ$, and the two opposite interior angles are $74^\circ$ and $y$.

$$92^\circ = 74^\circ + y$$

Subtract $74^\circ$ from both sides:

$$y = 92^\circ - 74^\circ$$ $$y = 18^\circ$$

The value of $y$ is \boxed{\text{18^\circ}}.