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given ( mparallel n ), find the value of x. answer attempt 2 out of 2 (…

Question

given ( mparallel n ), find the value of x.
answer attempt 2 out of 2
( x=)

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the consecutive interior angles are supplementary. That is \(x + 59=180\).

Step2: Solve for \(x\)

Subtract \(59\) from both sides of the equation \(x + 59=180\). So \(x=180 - 59\).

Answer:

\(x = 121\)