Question

given $m \parallel n$, find the value of $x$ and $y$.
answer
attempt 2 out of 3
$x =$
$y =$
submit answer

Explanation:

Step1: Find the value of \( y \)

Since \( y^{\circ} \) and \( 43^{\circ} \) are supplementary angles (they form a linear pair), we have \( y + 43=180 \).

$$
LATEXBLOCK0
$$

Step2: Find the value of \( x \)

Because \( m\parallel n \), \( x^{\circ} \) and \( y^{\circ} \) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So \( x = y \).
Since \( y = 137 \), then \( x=137 \).

Answer:

\( x = 137 \), \( y = 137 \)