Step 1 :First, we know that the supplement of an angle \(\theta\) is \(\pi - \theta\).
Step 2 :Substitute \(\frac{7\pi}{6}\) into the formula to get the supplementary angle, which gives us \(\pi - \frac{7\pi}{6} = \frac{6\pi}{6} - \frac{7\pi}{6} = -\frac{\pi}{6}\).
Step 3 :However, an angle cannot be negative. Thus, we add \(2\pi\) to the result, which gives us \(-\frac{\pi}{6} + 2\pi = \frac{11\pi}{6}\).