Hi, thank you for posting your question here at Brainly.
We use the the Newton's second law of motion: F=ma=0 (at equilibrium)
90 degrees:
F = T - W = 0
T = W = 100 N
50 degrees: If the angle is 50 degrees with the horizontal, then the angle of the cord with the vertical is 180 - 90 - 50 = 40 degrees. Then,
F = Tcos(4) - W =0
T = 100/cos(40)
T = 130.5 N