I'm going to answer in statement proof form.
Statement | Proof
mANGLE(ABC) is congruent to mANGLE(ADC) Properties of a Parallelograms
3(BCD)+(BCD)=180 Supplementary Property of Parallelograms
4(BCD) = 180 Simplify
BCD=45 Division property of Equality
180-45=ABC Properties of Supplementary Angles
135=ABC Simplify
135=ADC Transitive property of equality