1. **State the problem:** We have two intersecting lines forming angles 120°, $x$, and 125°. Angle $x$ is opposite the 120° angle, and angle $y$ is adjacent to the 125° angle. We need to find the values of $x$ and $y$. 2. **Use the property of vertical angles:** Vertical angles are equal. Since $x$ is opposite the 120° angle, we have: $$x = 120^\circ$$ 3. **Use the property of adjacent angles on a straight line:** Adjacent angles on a straight line sum to 180°. Since $y$ is adjacent to 125°, we have: $$y + 125^\circ = 180^\circ$$ 4. **Solve for $y$:** $$y = 180^\circ - 125^\circ = 55^\circ$$ **Final answers:** $$x = 120^\circ$$ $$y = 55^\circ$$