COMPUTE FOR THE T1 AND T2

Explanation:
Fx:
T2cos20° - T1 cos65° = 0
T2 = (cos65°/cos20°) T1
Fy:
T2sin20° + T1sin65° = 800N
[(cos65°/cos20°)T1]sin20° + T1sin65° = 800
T1 [(cos65°/cos20°)(sin20°) + sin65° = 800
T1 = 800
(cos65°/cos20°)(sin20°) + sin65°
T1 = 754.625752 N
T2= 754.625752 ( cos65°/cos20°)
T2 = 339.386076 N