Question

given m||n, find the value of x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the angles \((9x + 4)^{\circ}\) and \((2x+22)^{\circ}\) are corresponding angles, so they are equal.
\[9x + 4=2x + 22\]

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides:
\[9x-2x + 4=2x-2x + 22\]
\[7x+4 = 22\]
Subtract 4 from both sides:
\[7x+4 - 4=22 - 4\]
\[7x=18\]
Divide both sides by 7:
\[x=\frac{18}{7}\]

Answer:

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