## Algebra and Trigonometry 10th Edition

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.