Question

name andrea a date 10/3/25 period 2 if c || d, then identify the angles pair and solve for the unknown variable. the name of the angle pairs is _. w equals _

Explanation:

Step1: Identify angle - pair type

Since \(c\parallel d\), the \(55^{\circ}\) angle and \((3w - 2)^{\circ}\) angle are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.

Step2: Set up an equation

Set \(3w- 2=55\).

Step3: Solve the equation for \(w\)

Add 2 to both sides of the equation: \(3w-2 + 2=55 + 2\), which simplifies to \(3w=57\). Then divide both sides by 3: \(\frac{3w}{3}=\frac{57}{3}\), so \(w = 19\).

Answer:

The name of the angle pairs is corresponding angles. \(w\) equals \(19\).