Question

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

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the corresponding angles are equal. So, \(2x + 19=9x-4\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(19 = 9x-4 - 2x\), which simplifies to \(19=7x - 4\).
Add \(4\) to both sides: \(19 + 4=7x\), so \(23 = 7x\).
Divide both sides by \(7\): \(x=\frac{23}{7}\approx3.29\).

Answer:

\(x = \frac{23}{7}\)