Question

question given m||n, find the value of x. answer attempt 2 out of 2 x =

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(9x + 4=2x+22\).

Step2: Isolate the variable terms

Subtract \(2x\) from both sides: \(9x-2x + 4=2x-2x + 22\), which simplifies to \(7x+4 = 22\).

Step3: Isolate the variable \(x\)

Subtract 4 from both sides: \(7x+4 - 4=22 - 4\), getting \(7x=18\). Then divide both sides by 7: \(x=\frac{18}{7}\).

Answer:

\(x = \frac{18}{7}\)