Question

1. what is the measure of b? explain.

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, alternate - interior angles are equal. Here, the horizontal lines are parallel and the slanted line is the transversal.

Step2: Calculate the measure of angle \(B\)

The angle of \(30^{\circ}\) and angle \(B\) are alternate - interior angles. So, \(B = 30^{\circ}\)

Answer:

\(30^{\circ}\)