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, \(6x + 8=9x+10\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides: \(8 = 3x+10\).
Subtract \(10\) from both sides: \(8 - 10=3x\), i.e., \(- 2 = 3x\).
Divide both sides by \(3\): \(x=-\frac{2}{3}\).

Answer:

\(x =-\frac{2}{3}\)