The problem asks to find the value of the missing angle $x$ in a circle. The central angle corresponding to an arc is $x$ degrees, and the remaining part of the circle measures $148$ degrees.

1. Problem Description

The problem asks to find the value of the missing angle $x$ in a circle. The central angle corresponding to an arc is $x$ degrees, and the remaining part of the circle measures $148$ degrees.

2. Solution Steps

The sum of the angles around a point is $360$ degrees. In this case, the angles are $x$ and $148$. Therefore:

$x + 148 = 360$

Subtract $148$ from both sides of the equation:

$x = 360 - 148$

$x = 212$

3. Final Answer

The value of $x$ is $212$.