Answer
No Triangle.
Work Step by Step
Note: The Law of Sines is: $\frac{a}{sin(A)}$ = $\frac{b}{sin(B)}$ = $\frac{c}{sin(C)}$
To solve the triangle, we need to find C, B, and c.
Finding B:
We can use the Law of Sines.
$\frac{25}{sin(120^{o})} = \frac{25}{sin(B^{o})}$
Therefore, B = $60^{o}$
Finding C:
Since we found 2 other angles, we can use the fact that a triangle has angles that add to $180^{o}$.
180 - 120 - 60 = 0
Since the two given angles add to 180, the figure is not a triangle.
