Given the circle in the figure shown below with \(m\angle ABC = 120{}^\circ\) where point B is located at the centerof the circle, find the measure of \(\angle ADC.\)

In the circle shown in the figure below, \(m \angle ABC = 80{}^\circ\). Point B is located at the center of the circle, and line segment BD bisects \(\angle ADC\). Find \(m\angle BCD.\)

Given the circle in the figure shown below with point B located at the center of the circle,\(m \angle BAC = 40{}^\circ.\) Find the measure of \(\angle ADC.\)