1. Stated problem: We are given a triangle with angles 75°, 43°, and an unknown angle $x$, plus an additional angle 39° related by parallel lines. 2. Since the lines are parallel, corresponding or alternate interior angles can be used to relate the angles inside and outside the triangle. 3. Calculate the missing angle inside the triangle using the triangle angle sum theorem: angles inside a triangle add to 180°. 4. Sum the known triangle angles: $75° + 43° = 118°$. 5. Subtract from 180° to find the third angle inside the triangle: $$180° - 118° = 62°$$. 6. The angle labeled $x$ is affected by the parallel line properties, so we consider angles around the parallel lines to add to 180°. 7. Since $x$ and the 39° angle are on a straight line (co-interior angles with the 62° inside the triangle), and recognizing the relationship of angles around parallel lines, $x$ equals 62°. Final answer: $\boxed{62°}$