Answer:
see below
Explanation:
We can use the law of sines
sin 80 sin B
--------------- = -------------
31 14
Using cross products
14 sin 80 = 31 sin B
14/31 sin 80 = sin B
.984807753 = sin B
Taking the inverse sin of each side
sin ^ -1 ( .444751888) = B
26.41 = B
The sum of the angles of a triangle is 180
A+B+C = 180
80 + 26.41 + C =180
106.41 + C = 180
C = 73.59
We can use the law of sines to find c
sin 80 sin 73.59
--------------- = -------------
31 c
c sin 80 = 31 sin 73.59
c = 31 sin 73.59 / sin 80
c = 30.20
AB = 30.20