1. The problem states that O is the center of the circle, and we need to find the angle $x$ at the center formed by two radii. 2. We are given an inscribed angle of 115° that subtends the same arc as the central angle $x$. 3. By the theorem of circle angles, the central angle $x$ is twice the inscribed angle that subtends the same arc. 4. Therefore, $$x = 2 \times 115^\circ = 230^\circ$$ 5. So, the value of angle $x$ is $230^\circ$.