SOLUTION: Given: angle ABC and angle CBD form a linear pair, then prove angle ABC and angle CBD are supplmementary use a statement reason chart and for the reasons please use the postulates

Algebra ->  Geometry-proofs -> SOLUTION: Given: angle ABC and angle CBD form a linear pair, then prove angle ABC and angle CBD are supplmementary use a statement reason chart and for the reasons please use the postulates       Log On


   

Question 165773: Given: angle ABC and angle CBD form a linear pair, then prove angle ABC and angle CBD are supplmementary use a statement reason chart and for the reasons please use the postulates as reasons thank you.
Answer by Mathtut(3670) About Me  (Show Source):
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