1. **State the problem:** Classify triangle $\triangle TUV$ by its sides and angles. 2. **Recall classification rules:** - By sides: Equilateral (all sides equal), Isosceles (two sides equal), Scalene (all sides different). - By angles: Acute (all angles < 90°), Right (one angle = 90°), Obtuse (one angle > 90°). 3. **Apply to $\triangle TUV$:** Since no side lengths or angle measures are given, we cannot classify $\triangle TUV$ specifically. 4. **Next problem:** In $\triangle PQR$, given: $$QR = PQ + 3$$ $$PR = PQ - 4$$ 5. **Analyze side lengths:** Let $PQ = x$. Then $QR = x + 3$ and $PR = x - 4$. 6. **Order sides:** Since $x - 4 < x < x + 3$, the sides in ascending order are: $$PR < PQ < QR$$ 7. **Recall angle-side relationship:** In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. 8. **List angles from least to greatest:** Opposite $PR$ is angle $Q$, opposite $PQ$ is angle $R$, opposite $QR$ is angle $P$. So angles in ascending order: $$\angle Q < \angle R < \angle P$$ **Final answer:** The angles of $\triangle PQR$ from least to greatest are $\angle Q$, $\angle R$, $\angle P$.