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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, \(5x + 19=6x + 5\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation:
\(5x+19 - 5x=6x + 5-5x\)
\(19=x + 5\).
Then subtract \(5\) from both sides:
\(x=19 - 5\)
\(x = 14\).

Answer:

\(x = 14\)