Answer
The angle that $F_3$ has relative to the +x axis is $~~176^{\circ}$
Work Step by Step
In part (a), we found that the x component of $F_3$ is $~~-24.4~N$
In part (b), we found that the y component of $F_3$ is $~~1.60~N$
We can find the angle $\theta$ above to the -x axis:
$tan~\theta = \frac{1.60~N}{24.4~N}$
$\theta = tan^{-1}~\frac{1.60~N}{24.4~N}$
$\theta = 3.75^{\circ}$
We can find the angle relative to the +x axis:
$180^{\circ}-3.75^{\circ} = 176^{\circ}$
The angle that $F_3$ has relative to the +x axis is $~~176^{\circ}$
