Question

1. diagram: two parallel lines cut by a transversal, with one angle labeled ( 120^circ ) and another labeled ( (x - 30)^circ ) ( x = ) blank box

Explanation:

Step1: Identify angle relationship

The two angles are corresponding angles (since lines are parallel, corresponding angles are equal). So, \(120^\circ=(x - 30)^\circ\).

Step2: Solve for x

Add 30 to both sides: \(x=120 + 30\).

Answer:

150