Getting Tensions

[Amakura20]

Please help me. I'm not just looking for answers, I'd like a solution and explanation as well. I'm 29 years old, currently employed. In short, I'm a working student trying to finish my degree.
This a a homework that I need to solve in one week. I understand the Cosine law and Pythagorean theory but this tension thing is killing me. I did my best trying to understand this stuff, I dont have all the time in the world, I'm a father too. Any help would be greatly appreciated. I need to get the Tensions on the attached image.

 

[Deleted member 4993]

Please help me. I'm not just looking for answers, I'd like a solution and explanation as well. I'm 29 years old, currently employed. In short, I'm a working student trying to finish my degree.
This a a homework that I need to solve in one week. I understand the Cosine law and Pythagorean theory but this tension thing is killing me. I did my best trying to understand this stuff, I dont have all the time in the world, I'm a father too. Any help would be greatly appreciated. I need to get the Tensions on the attached image.

There are two points from which the weights are hanging and several forces (tensions) are meeting.

Do you know how to isolate those points and draw the force diagrams (or free-body-diagrams) of those points?

Which textbook are you following?