Question

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

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the corresponding - angles are equal. So, we set up the equation \(10x - 1=x + 16\).

Step2: Solve the equation for \(x\)

First, subtract \(x\) from both sides: \(10x-x - 1=x - x+16\), which simplifies to \(9x - 1 = 16\).
Then, add 1 to both sides: \(9x-1 + 1=16 + 1\), getting \(9x=17\).
Finally, divide both sides by 9: \(x=\frac{17}{9}\).

Answer:

\(x = \frac{17}{9}\)