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given $m \\parallel n$, find the value of $x$. answer attempt 1 out of …

Question

given $m \parallel n$, find the value of $x$.
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Identify supplementary angles

Since \( m \parallel n \) and the two angles \( x^\circ \) and \( 98^\circ \) are adjacent and form a linear pair, they are supplementary. Supplementary angles add up to \( 180^\circ \).

Step2: Solve for \( x \)

Using the supplementary angle property: \( x + 98 = 180 \). Subtract \( 98 \) from both sides: \( x = 180 - 98 = 82 \).

Answer:

\( x = 82 \)