Hello all, i am currently working on statics of particles, and am having problems on the following question.

What i done first was found the magnitude of the three angles using the cosine rule, i have both tried leaving the angles in exact form, and rounding off to the nearest decimal place, both giving me the wrong answer. The given angles are:

ABC = 42

BCA = 53

CAB = 85

What i do next was rearrange the vectors into a triangle of forces and apply the correct angles. I believe these are (after rearranging):

ABC = 127

BCA = 38

CAB = 15

maybe im wrong there, im not sure. After that i simply use the sine rule to find the tension in the two unknown strings, but i get the wrong answers >_<

The answers are :

T1 = 14.99 kg wt, T2 = 12.10 kg wt

Can anyone see what i am doing wrong?