Question

answer
x =
y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle of $133^{\circ}$ and $x$ are vertical angles. So $x = 133$.
$x=133$

Step2: Use supplementary - angle property

The sum of adjacent angles on a straight - line is $180^{\circ}$. Since $x$ and $y$ are adjacent angles on a straight - line, $x + y=180$. Substitute $x = 133$ into the equation: $133 + y=180$. Then $y=180 - 133$.
$y = 47$

Answer:

$x = 133$, $y = 47$