Answer:
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:
![(sin(55))/(8)=(sin(43))/(b)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u2hekxo2ts5dp11c91peieqgxauk7u6hoi.png)
Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605