A negative angle greater than \( -360^{\circ} \) that is coterminal to \( 204^{\circ} \) is

To find a negative angle greater than \(-360^{\circ}\) that is coterminal with \(204^{\circ}\), we can subtract \(360^{\circ}\) from \(204^{\circ}\): \[ 204^{\circ} - 360^{\circ} = -156^{\circ} \] So, \(-156^{\circ}\) is a negative angle coterminal with \(204^{\circ}\) and is greater than \(-360^{\circ}\). Thus, the answer is \(-156^{\circ}\).