Question

find w.
54°
(6w)°
© algebra einstein, 2023

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines are cut by a transversal, alternate interior angles are equal. Here, the angle of \(54^{\circ}\) and the angle of \((6w)^{\circ}\) are alternate interior angles. So, \(6w = 54\).

Step2: Solve the equation for \(w\)

Divide both sides of the equation \(6w = 54\) by \(6\). We get \(w=\frac{54}{6}\).

Answer:

\(w = 9\)