Question

1. lines v and w are parallel lines cut by a transversal. 39° (6x + 3)° x = ____

Explanation:

Step1: Identify angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, the angle of \(39^{\circ}\) and the angle \((6x + 3)^{\circ}\) are corresponding angles, so \(6x+3 = 39\).

Step2: Solve the equation for \(x\)

Subtract 3 from both sides of the equation: \(6x=39 - 3\), so \(6x = 36\).

Step3: Isolate \(x\)

Divide both sides of the equation \(6x = 36\) by 6: \(x=\frac{36}{6}\).

Answer:

6