You can
put this solution on YOUR website!Statements/Conclusion Justification
1) ABD and DBC are a linear pair. 1) Given
2) BA and BC are opposite rays. 2) Definition of linear pair
3) mABC = 180 degrees. 3) Straight Angle Assumption
4) mABD + mCBD = mABC. 4) Angle Addition Assumption
5) mABD + mCBD = 180 degrees. 5) Substitution Property
6) ABD and CBD are supplementary angles. 6) Definition of supplementary angles