Find the value of x and y in the diagram.

Step 1: Find $x$.
Angles on a straight line sum to $180^\circ$. The angle $x$ and $113^\circ$ are on a straight line.

$$x + 113^\circ = 180^\circ$$ $$x = 180^\circ - 113^\circ$$ $$x = 67^\circ$$

Step 2: Find $y$.
Angles on a straight line sum to $180^\circ$. The angle $y$ and $144^\circ$ are on a straight line.

$$y + 144^\circ = 180^\circ$$ $$$$