Question

given m || n, find the value of x.

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(9x + 11=97\).

Step2: Solve the equation for \(x\)

Subtract 11 from both sides: \(9x=97 - 11\), so \(9x = 86\). Then divide both sides by 9: \(x=\frac{86}{9}\approx9.56\).

Answer:

\(x=\frac{86}{9}\)