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.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
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.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
180^\circ
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.
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