Question 1198347
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Let's see if we can use the Law of Sines to determine angle B.
sin(B)/b = sin(C)/c
sin(B)/12.2 = sin(34)/8.2
sin(B) = 12.2*sin(34)/8.2
sin(B) = 0.8319699
B = arcsin(0.8319699) or B = 180-arcsin(0.8319699)
B = 56.3016 or B = 123.6984
These values are approximate.


If B = 56.3016, then
A+B+C = 180
A = 180-B-C
A = 180-56.3016-34
A = 89.6984
which is a valid angle measure since 0 < A < 180.


If B = 123.6984, then
A+B+C = 180
A = 180-B-C
A = 180-123.6984-34
A = 22.3016
which is also valid.


We have the SSA ambiguous case here, where we have 2 possible triangles. 
<img src = "https://i.imgur.com/0fhqBTG.png">
Angle A could be 22.3016° marked in blue, or it could be 89.6984° marked in red.
B1 and B2 represent possible locations for point B.
Here's what it looks like to split the triangles up, to get a better look at them.
<img width="70%" src = "https://i.imgur.com/40KQqt6.png">
I've also erased the "1" and "2" from "B1" and "B2" respectively.


I'll let you use the law of sines to determine the missing side for each possible triangle.
I'll also let you round the angle measures to the nearest whole degree.
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