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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
( x = )

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the alternate interior angles are equal. So, \(5x - 14=4x + 4\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides: \(5x-4x-14 = 4x-4x + 4\), which simplifies to \(x-14=4\).
Then add \(14\) to both sides: \(x-14 + 14=4 + 14\).

Answer:

\(x = 18\)