Answer
$130^{\circ},50^{\circ}$
Work Step by Step
After some simplification, $(-14x+18)^{\circ}$ and $(-6x+2)^{\circ}$ become interior angles on the same side of the transversal.
Therefore, $(-14x+18)^{\circ}+(-6x+2)^{\circ}=180^{\circ}$
$-14x-6x+18+2=180$
$-20x+20=180$
$-20x=160$
Therefore, $x=-8$
As a result,
$(-14x+18)^{\circ}=-14(-8)+18=130^{\circ}$
$(-6x+2)^{\circ}=-6(-8)+2=50^{\circ}$
