In parallelogram STUV, opposite angles are equal, and adjacent angles sum to 180°.
Given ∠SVU : ∠TSV = 3 : 7.
Let ∠SVU = 3 units and ∠TSV = 7 units.
Since SVU and TSV are adjacent angles in the parallelogram, 3u + 7u = 10u = 180°, so 1 unit = 18°.
∠STU is opposite ∠SVU, so ∠STU = ∠SVU = 3 × 18° = 54°.
Final Answer: 54°