Question

determining the value of x using lines cut by a transversal
what is the value of x?
25

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\) and \(n\) are cut by a transversal \(l\), consecutive interior angles are supplementary. So, \(45+(2x - 5)=180\).

Step2: Simplify the equation

First, combine like - terms: \(45-5+2x=180\), which gives \(40 + 2x=180\).
Then, subtract 40 from both sides: \(2x=180 - 40\), so \(2x=140\).

Step3: Solve for \(x\)

Divide both sides by 2: \(x=\frac{140}{2}\).

Answer:

\(x = 70\)