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:

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