2. In space, there are 10 points, all connected pairwise, and these line segments are colored with red and blue. Among them, the line segments connected from point $A$ are all red. Among the triangles formed with these 10 points as vertices, how many triangles with three sides of the same color are there at least?

In space, there are 10 points, all connected pairwise, and these line segments are colored with red and blue. Among them, the line segments connected from point $A$ are all red. Among the triangles formed with these 10 points as vertices, how many triangles with three sides of the same color are there at least?
(Tip: Let the number of same-colored triangles be $x$, then the number of differently colored triangles is $\mathrm{C}_{10}^{3}-x$. Let the total number of same-colored angles be $y$, then $y=3 x+\left(\mathrm{C}_{10}^{3}-\right.$ $x)=120+2 x$. When $y$ reaches its minimum value, $x$ also reaches its minimum value. The total number of same-colored angles is at least $C_{9}^{2}+9\left(C_{4}^{2}+C_{5}^{2}\right)=180$. On the other hand, let the 10 points be $A, B, C_{1}, C_{2}, C_{3}, C_{4}, D_{1}, D_{2}, D_{3}, D_{4}$. Connect $C_{i} C_{j}, D_{i} D_{j}, B D_{j}$ with red lines, and $C_{i} D_{j}, B C_{i}$ with blue lines, thus, except for point $A$, the lines connected from the other points are all 5 red 4 blue or 4 red 5 blue. In summary, the number of same-colored angles can reach 180. Therefore, the number of same-colored triangles is at least 30.)