1. The problem states that the sum of two angles $x$ and $y$ is given by $x + y = \frac{320}{3}^\circ \approx 106.67^\circ$.\n\n2. We are to understand or analyze the relationship between $x$ and $y$ based on this sum.\n\n3. This means that if you know one angle, say $x$, you can find the other angle $y$ by rearranging the equation:\n$$ y = \frac{320}{3} - x $$\n\n4. For example, if $x = 50^\circ$, then\n$$ y = 106.67^\circ - 50^\circ = 56.67^\circ $$\n\n5. In general, $x$ and $y$ can be any two angles whose sum is $\frac{320}{3}^\circ$ or approximately $106.67^\circ$.