1. **State the problem:** We have four lines labeled $m$, $n$, $p$, and $q$ intersecting and forming four congruent angles each measuring $89.9^\circ$. We need to determine which statement about parallelism among these lines is true. 2. **Recall the rule for parallel lines and angles:** When two lines are cut by a transversal, if corresponding or alternate interior angles are equal, the lines are parallel. 3. **Analyze the given angles:** Each angle is $89.9^\circ$, which is very close to $90^\circ$ but not exactly. For lines to be parallel, the angles formed by the transversal must be exactly equal to $90^\circ$ or supplementary to $90^\circ$ (i.e., $90^\circ$ and $90^\circ$ for right angles). 4. **Check pairs $m$ and $n$:** Since the angles at their intersections are $89.9^\circ$, which is not exactly $90^\circ$, $m$ and $n$ are not perfectly parallel. 5. **Check pairs $p$ and $q$:** Similarly, $p$ and $q$ form angles of $89.9^\circ$, so they are also not perfectly parallel. 6. **Conclusion:** Since none of the pairs form exactly $90^\circ$ angles, no pair of lines is truly parallel. **Final answer:** D No pair of lines is parallel.