1. **Problem Statement:** Given two parallel lines $p$ and $f$ intersected by a transversal $t$, we observe angles formed at the intersections. We need to find the value of $x$ in the last diagram based on the properties of parallel lines and transversals. 2. **Relevant Concepts:** - When a transversal crosses parallel lines, corresponding angles are congruent. - Alternate interior angles are congruent. - Consecutive interior angles are supplementary (sum to 180°). 3. **Analyzing the diagrams:** - In the first diagram, angles on $p$ and $f$ are both 70°, showing corresponding angles are equal. - In the second diagram, right angles are marked, confirming perpendicular intersections. - In the third diagram, angles on $p$ and $f$ are both 110°, again showing corresponding angles are equal. 4. **Applying to the fourth diagram:** - Angle on $p$ is 75°. - Angle on $f$ is $x°$ (unknown). Since $p$ and $f$ are parallel and $t$ is a transversal, the angles on $p$ and $f$ at corresponding positions are congruent. Therefore, $$x = 75$$ 5. **Conclusion:** The correct statement is A: The value of $x$ should be 75, because the angles shown in the diagrams are congruent.