Correct Answer - `T_(1) = 146.4 N; T_(2) = 179.3 N` .
Equating the horizontal components of tensions:
`T_(1) cos 30^(@) = T_(2) cos 45^(@)`
Vertical components balance the wt
`T_(1) sin 30^(@) + T_(2) sin 45^(@) = 200`
Solve to get `T_(1) = 146.4 N, T_(2) = 179.3 N` .