Can somebody walk me through a statics problem?

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Can somebody walk me through a statics problem?


Can somebody please walk me through how to solve this? I have tried numerous times but can not seem to find the right answer
 
You should start as usual: at point B all the tension forces add up vectorially to zero. What does that mean?
 
I know that the summation of forces in the x and y directions need to add up to zero, I have tried so many times I am just simply at a loss at this point