Question

what is the value of x?
x = 67
when a transversal intersects parallel lines, the corresponding angles are congruent.
(and there is a diagram with angles 67°, 113° and x° formed by a transversal and parallel lines)

Explanation:

Step1: Identify the theorem

We use the Corresponding Angles Postulate, which states that when a transversal intersects parallel lines, corresponding angles are congruent.

Step2: Locate corresponding angles

The angle of \(67^\circ\) and the angle \(x^\circ\) are corresponding angles because the lines are parallel and cut by a transversal.

Step3: Apply the postulate

Since corresponding angles are congruent, \(x = 67\).

Answer:

67