F_x=Fcos(a)
F_y=Fsin(a)
1.F_x=166cos(55)
F_y=166sin(55) (55 because of the supplementary angle)
2.F_x= 575cos(-75) (complimentary angle/negative because its under x-axis)
F_y= 575sin(-75)
The values you get can be negative or positive depending on which side the vector is pointing at.