Question

given ( mparallel n ), find the value of x.

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the alternate interior angles are equal. So, \(10x + 1=5x + 29\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(10x-5x + 1=5x-5x + 29\), which simplifies to \(5x+1 = 29\).
Subtract \(1\) from both sides: \(5x+1 - 1=29 - 1\), getting \(5x=28\).
Divide both sides by \(5\): \(x=\frac{28}{5}=5.6\).

Answer:

\(x = 5.6\)