Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((8x - 14)^{\circ}\) and \((9x-10)^{\circ}\) are corresponding angles and are equal.
\[8x - 14=9x - 10\]

Step2: Solve the equation for \(x\)

Subtract \(8x\) from both sides of the equation:
\[8x-14-8x=9x - 10-8x\]
\[-14=x - 10\]
Then add 10 to both sides:
\[-14 + 10=x-10 + 10\]
\[x=-4\]

Answer:

\(x=-4\)