Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]