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given ( mparallel n ), find the value of x. answer attempt 1 out of 2

Question

given ( mparallel n ), find the value of x.
answer attempt 1 out of 2

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the sum of same - side interior angles is \(180^{\circ}\).
So, \(104^{\circ}+x^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(104^{\circ}\) from both sides of the equation:
\(x = 180 - 104\)
\(x=76\)

Answer:

\(76\)