1. The problem asks to find an angle that is greater than 189° but less than 360°. 2. Angles are measured in degrees, and the range given is between 189° and 360°. 3. Any angle $\theta$ satisfying $189^\circ < \theta < 360^\circ$ fits the condition. 4. For example, $\theta = 270^\circ$ is an angle greater than 189° and less than 360°. 5. Therefore, the set of all such angles is the interval $(189^\circ, 360^\circ)$. 6. In summary, any angle between 189° and 360° (not including 189° and 360°) satisfies the problem's condition.