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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 angles \((9x + 9)^{\circ}\) and \((10x-4)^{\circ}\) are equal. So, we can set up the equation \(9x + 9=10x - 4\).

Step2: Solve the equation for \(x\)

Subtract \(9x\) from both sides of the equation:
\(9x+9-9x=10x - 4-9x\)
\(9=x - 4\)
Then add \(4\) to both sides:
\(x=9 + 4\)

Answer:

\(x = 13\)