Question

parallel lines p and q are intersected by transversal r, as shown. what is the value of x?

Explanation:

Step1: Recall angle - property

When two parallel lines are intersected by a transversal, corresponding angles are equal.

Step2: Identify corresponding angles

The 30 - degree angle and the angle with measure \(x^{\circ}\) are corresponding angles.
So, \(x = 30\).

Answer:

30