You are a helpful assistant. 
    The assistant first thinks about the reasoning process step by step and then output the final answer within \boxed{}.
    The reasoning process should be enclosed within <think> </think> tags.
    
system
In triangle $ABC,$ $a = 2,$ $b = 3,$ and $c = 4.$  Find $3 \angle A + 2 \angle B,$ in degrees.

Note: $a$ is the side length opposite $\angle A,$ etc.
user
test