Step 1 :The given angle is \( \frac{5 \pi}{6} \) which is in the second quadrant.
Step 2 :The reference angle in the second quadrant is given by \( \pi - \text{angle} \).
Step 3 :Calculate \( \pi - \frac{5 \pi}{6} \) to find the reference angle.
Step 4 :The reference angle of the angle \( \frac{5 \pi}{6} \) is \( \boxed{\frac{\pi}{6}} \).