Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:
[tex]\frac{sin(55)}{8}=\frac{sin(43)}{b}[/tex]
Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
[tex]b=\frac{8sin(43)}{sin(55)}[/tex] so
b = 6.6605
