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 (ell parallel m).

Explanation:

Step1: Use the property of corresponding angles

When \( \ell\parallel m\), the angle \((5x + 40)^{\circ}\) and the angle \( (2x+5x)^{\circ}\) (since \(2x\) and \(5x\) are adjacent angles on a straight - line formed by the transversal) are corresponding angles. So, \(5x + 40=2x + 5x\).

Step2: Solve the equation

$$
LATEXBLOCK0
$$

Answer:

\(x = 20\)