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

Question

given $m \parallel n$, find the value of x.

answer attempt 2 out of 2
$x = \boxed{18}^\circ$ submit answer

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the sum of the interior angles on the same side of the transversal is \(180^{\circ}\). So, \(x + 162=180\).

Step2: Solve the equation for \(x\)

Subtract \(162\) from both sides of the equation \(x + 162=180\). We get \(x=180 - 162\).

Answer:

\(18\)