We are given a circle with center P. An angle $x$ is formed at the center, and the intercepted arc has a measure of $92$ degrees. We need to find the value of $x$.

1. Problem Description

We are given a circle with center P. An angle $x$ is formed at the center, and the intercepted arc has a measure of $92$ degrees. We need to find the value of $x$.

2. Solution Steps

The central angle is equal to the measure of its intercepted arc.

Therefore, we have the relation:

$x = 92$ degrees

3. Final Answer

92