Question

guided practice
proving lines parallel
type your answer and then click or tap done.
look at the figure. find the value of x for which ℓ || m.

Explanation:

Step1: Use the property of parallel lines (corresponding angles are equal)

If \( \ell\parallel m\), then \(2x + 60=4x+20\)

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(60 = 2x+20\)
Subtract \(20\) from both sides: \(40=2x\)
Divide both sides by \(2\): \(x = 20\)

Answer:

\(20\)