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:

Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605
Answer:
Answer: Each pair of opposite sides has the same measure. Therefore, they are congruent. If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.
Yes. hope this is helpful