A mass $m=22\mathrm{.}3kg$ is supported against gravity by three ropes.

Rope $1$ pulls directly to the right $($in the positive x$-$direction$)$ exerting a force of magnitude $T_1=38\mathrm{.}3N.$

Rope $2$ pulls up and to the left with a force magnitude $T_2=151\mathrm{.}1N$ making an angle of $=19\mathrm{.}4$ with the vertical.

Rope $3$ pulls exerting a force of an unknown magnitude and in an unknown direction.

$($The input below will accept answers with no more than $1\%$ variation from the correct value.$)$

What is the magnitude of the force exerted by rope $3?$

$N$

What is the angle between the force exerted by rope $3$ and the positive $x-$axis?

degrees