Question

find the measure of the missing angles

Explanation:

Step1: Find angle $x$

Since the angle with measure $68^{\circ}$ and $x$ are complementary (sum to $90^{\circ}$), we have $x=90^{\circ}- 68^{\circ}=22^{\circ}$.

Step2: Find angle $y$

The angle with measure $68^{\circ}$ and $y$ are supplementary (sum to $180^{\circ}$), so $y = 180^{\circ}-68^{\circ}=112^{\circ}$.

Answer:

$x = 22^{\circ}$, $y=112^{\circ}$