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Problem 1: Sign hanging at rest from two cables. One is angled at zero degrees while the other is at 135 degrees. The sign is 10kg. Find the tension of both cables.

Problem 2: Sign hanging at rest from two cables. One is angled at 170 degrees while the other is at 35 degrees. The sign is 500kg. Find the tension of both cables.

Problem 3: There's a frictionless pulley with two weights on either end of a string. One weight is 20kg while the other is 35kg. Find the acceleration of the 20kg mass and the tension of the cable.

For the first two I know you have to like do T1x + T2y = T1 and T2x + T1y + F = T2 or something, but I can't remember the right formula for it. For the second one I don't know how to do it at all.

Also, if anyone has any links on how to sum up masses that would be greatly appreciated.