Final answer:
The statement you can write in the proof for mZ_ADC using the Angle Addition Postulate is mZ_ADC = mZ_ADB + mZ_BDC.
Step-by-step explanation:
To write a statement in a proof for mZ_ADC using the Angle Addition Postulate, we need to know the measure of the angles involved and how they are related. The Angle Addition Postulate states that if we have three angles with a common vertex, then the measure of the middle angle is equal to the sum of the measures of the other two angles. In this case, mZ_ADC is the middle angle, so we can write the statement:
mZ_ADC = mZ_ADB + mZ_BDC