Question

question given m||n, find the value of x. (7x + 9)° (9x - 5)° answer attempt 1 out of 2 submit answer watch video show examples

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 \(9x - 5=7x + 9\).

Step2: Isolate the variable terms

Subtract \(7x\) from both sides of the equation: \((9x - 7x)-5=(7x - 7x)+9\), which simplifies to \(2x-5 = 9\).

Step3: Isolate the variable

Add 5 to both sides of the equation: \(2x-5 + 5=9 + 5\), getting \(2x=14\).

Step4: Solve for \(x\)

Divide both sides of the equation by 2: \(\frac{2x}{2}=\frac{14}{2}\), so \(x = 7\).

Answer:

\(x = 7\)