Question

given $m \parallel n$, find the value of $x$ and $y$.
answer
$x = \square$
$y = \square$

Explanation:

Step1: Solve for x (supplementary angles)

Angles on a straight line sum to $180^\circ$.
$x + 42 = 180$
$x = 180 - 42 = 138$

Step2: Solve for y (corresponding angles)

Parallel lines have equal corresponding angles.
$y = x = 138$

Answer:

$x = 138$, $y = 138$