Question

answer attempt 2 out of 99
$x=\square$ $y=\square$

Explanation:

Step1: Find the value of \( y \)

Since lines \( m \) and \( n \) are parallel, \( y \) and \( 142^{\circ} \) are supplementary angles.
\( y+142^{\circ}=180^{\circ} \)
\( y = 180^{\circ}-142^{\circ}=38^{\circ} \)

Step2: Find the value of \( x \)

\( x \) and \( 142^{\circ} \) are alternate - exterior angles. When two parallel lines are cut by a transversal, alternate - exterior angles are equal.
So \( x = 142^{\circ} \)

Answer:

\( x = 142 \), \( y = 38 \)