Question

the figure shows a line intersecting two parallel lines. what is the value of x?

Explanation:

Step1: Use corresponding - angles property

Corresponding angles are equal when a transversal intersects parallel lines. So $x$ and the angle adjacent to $131^{\circ}$ are equal.

Step2: Calculate adjacent - angle value

The adjacent angle to $131^{\circ}$ is $180 - 131=49^{\circ}$. So $x = 49$.

Answer:

$49$