Answer
$70^{\circ}; 110^{\circ}$
Work Step by Step
The angles are supplementary and their sum must be $180^{\circ}$.
That is, $(7x)^{\circ}+(11x)^{\circ}=180^{\circ}$
$(18x)^{\circ}=180^{\circ}\implies x=10$
The angle measures are $(7x)^{\circ}=70^{\circ}$ and $(11x)^{\circ}=110^{\circ}$
