Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the given angles \((7x + 9)^{\circ}\) and \((9x-5)^{\circ}\) are alternate - interior angles, and alternate - interior angles are equal. So we set up the equation \(7x + 9=9x - 5\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides:
\(7x+9-7x=9x - 5-7x\)
\(9 = 2x-5\)
Add 5 to both sides:
\(9 + 5=2x-5 + 5\)
\(14 = 2x\)
Divide both sides by 2:
\(\frac{14}{2}=\frac{2x}{2}\)
\(x = 7\)

Answer:

\(x = 7\)