1. **State the problem:** We need to find the size of angle $x$ in a figure where two horizontal lines are parallel, and there is a triangle formed by two slanted lines intersecting these parallels. 2. **Given angles:** $139^\circ$ and $67^\circ$ are exterior angles adjacent to the triangle. 3. **Angle facts used:** - The sum of angles on a straight line is $180^\circ$. - Alternate interior angles between parallel lines are equal. - The sum of angles in a triangle is $180^\circ$. 4. **Find interior angles adjacent to the given exterior angles:** - Adjacent to $139^\circ$ is $180^\circ - 139^\circ = 41^\circ$. - Adjacent to $67^\circ$ is $180^\circ - 67^\circ = 113^\circ$. 5. **Use the triangle angle sum:** Let the three interior angles of the triangle be $41^\circ$, $113^\circ$, and $x$. $$41^\circ + 113^\circ + x = 180^\circ$$ 6. **Solve for $x$:** $$x = 180^\circ - 41^\circ - 113^\circ$$ $$x = 26^\circ$$ **Final answer:** $x = 26^\circ$