Question

the figure shows two lines cut by a transversal. which value of x shows that the lines are parallel? x = 44 for lines to be parallel, corresponding angles must be congruent. (2x + 17)° 75°

Explanation:

Step1: Set up the equation

Since corresponding angles are congruent for parallel lines, we set \(2x + 17=75\).

Step2: Solve for \(x\)

Subtract 17 from both sides: \(2x=75 - 17\), so \(2x = 58\). Then divide both sides by 2: \(x=\frac{58}{2}=29\).

Answer:

\(x = 29\)