The Chief Examiner observed that this question was not popular among the candidates and the few who attempted this question were reported not to have drawn the diagram correctly and this also affected their performance. Candidates should represent the forces as indicated below

 

Using Lami's theorem,     F/Sin 145° = 60/Sin 125° ⇒60xSin145°
                                                                                           Sin 125°
   = 42.0N

Similarly,  T    =    60/125°  =>T = 60Sin900
                  Sin90                              Sin125°
 = 73.2N
The solution could also be obtained by resolving the forces into its horizontal and vertical components. In which case, we would obtain:

[0,-60] +[Fcos0,Fsin0] + [-Tcos55,Tsin55] = [0,0] i.e [0,-60] + [f,0] +[-0.5736T,0.8192T] = [0,0]